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Finding the Third Proportional to 415,688,424 and 581,156,913

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Solution

The third proportional to 415,688,424 and 581,156,913 is: 812,491,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688,424 : 581,156,913 = 581,156,913 : x
  2. Step 2: Convert to fraction form
    415,688,424/581,156,913 = 581,156,913/x
  3. Step 3: Cross multiply
    415,688,424x = 581,156,913 × 581,156,913
  4. Step 4: Simplify right side
    415,688,424x = 337,743,357,527,689,600
  5. Step 5: Solve for x
    x = 337,743,357,527,689,600/415,688,424
  6. Step 6: Final answer
    x = 812,491,611.57

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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.