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Finding the Third Proportional to 343,939,237,558 and 512,926,254,709

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Solution

The third proportional to 343,939,237,558 and 512,926,254,709 is: 764,941,344,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,939,237,558 : 512,926,254,709 = 512,926,254,709 : x
  2. Step 2: Convert to fraction form
    343,939,237,558/512,926,254,709 = 512,926,254,709/x
  3. Step 3: Cross multiply
    343,939,237,558x = 512,926,254,709 × 512,926,254,709
  4. Step 4: Simplify right side
    343,939,237,558x = 263,093,342,769,801,938,862,080
  5. Step 5: Solve for x
    x = 263,093,342,769,801,938,862,080/343,939,237,558
  6. Step 6: Final answer
    x = 764,941,344,400.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.