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Finding the Third Proportional to 415,037.25 and 634,600.13

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Solution

The third proportional to 415,037.25 and 634,600.13 is: 970,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,037.25 : 634,600.13 = 634,600.13 : x
  2. Step 2: Convert to fraction form
    415,037.25/634,600.13 = 634,600.13/x
  3. Step 3: Cross multiply
    415,037.25x = 634,600.13 × 634,600.13
  4. Step 4: Simplify right side
    415,037.25x = 402,717,318,650.02
  5. Step 5: Solve for x
    x = 402,717,318,650.02/415,037.25
  6. Step 6: Final answer
    x = 970,316.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.