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Finding the Third Proportional to 344,801,448 and 516,695,328

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Solution

The third proportional to 344,801,448 and 516,695,328 is: 774,283,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,801,448 : 516,695,328 = 516,695,328 : x
  2. Step 2: Convert to fraction form
    344,801,448/516,695,328 = 516,695,328/x
  3. Step 3: Cross multiply
    344,801,448x = 516,695,328 × 516,695,328
  4. Step 4: Simplify right side
    344,801,448x = 266,974,061,977,027,584
  5. Step 5: Solve for x
    x = 266,974,061,977,027,584/344,801,448
  6. Step 6: Final answer
    x = 774,283,471.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.