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Finding the Third Proportional to 261,074,966.50 and 391,612,496.25

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Solution

The third proportional to 261,074,966.50 and 391,612,496.25 is: 587,418,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,074,966.50 : 391,612,496.25 = 391,612,496.25 : x
  2. Step 2: Convert to fraction form
    261,074,966.50/391,612,496.25 = 391,612,496.25/x
  3. Step 3: Cross multiply
    261,074,966.50x = 391,612,496.25 × 391,612,496.25
  4. Step 4: Simplify right side
    261,074,966.50x = 153,360,347,219,156,256
  5. Step 5: Solve for x
    x = 153,360,347,219,156,256/261,074,966.50
  6. Step 6: Final answer
    x = 587,418,814.13

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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.