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Finding the Third Proportional to 415,688,446 and 581,156,945

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Solution

The third proportional to 415,688,446 and 581,156,945 is: 812,491,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688,446 : 581,156,945 = 581,156,945 : x
  2. Step 2: Convert to fraction form
    415,688,446/581,156,945 = 581,156,945/x
  3. Step 3: Cross multiply
    415,688,446x = 581,156,945 × 581,156,945
  4. Step 4: Simplify right side
    415,688,446x = 337,743,394,721,733,056
  5. Step 5: Solve for x
    x = 337,743,394,721,733,056/415,688,446
  6. Step 6: Final answer
    x = 812,491,658.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.