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Finding the Third Proportional to 334,396,963 and 516,505,709

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Solution

The third proportional to 334,396,963 and 516,505,709 is: 797,788,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,963 : 516,505,709 = 516,505,709 : x
  2. Step 2: Convert to fraction form
    334,396,963/516,505,709 = 516,505,709/x
  3. Step 3: Cross multiply
    334,396,963x = 516,505,709 × 516,505,709
  4. Step 4: Simplify right side
    334,396,963x = 266,778,147,429,592,672
  5. Step 5: Solve for x
    x = 266,778,147,429,592,672/334,396,963
  6. Step 6: Final answer
    x = 797,788,786.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.