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Finding the Third Proportional to 307,255,008.75 and 449,217,564

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Solution

The third proportional to 307,255,008.75 and 449,217,564 is: 656,771,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,255,008.75 : 449,217,564 = 449,217,564 : x
  2. Step 2: Convert to fraction form
    307,255,008.75/449,217,564 = 449,217,564/x
  3. Step 3: Cross multiply
    307,255,008.75x = 449,217,564 × 449,217,564
  4. Step 4: Simplify right side
    307,255,008.75x = 201,796,419,806,094,080
  5. Step 5: Solve for x
    x = 201,796,419,806,094,080/307,255,008.75
  6. Step 6: Final answer
    x = 656,771,782.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.