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Finding the Third Proportional to 497,253.38 and 764,758.13

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Solution

The third proportional to 497,253.38 and 764,758.13 is: 1,176,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,253.38 : 764,758.13 = 764,758.13 : x
  2. Step 2: Convert to fraction form
    497,253.38/764,758.13 = 764,758.13/x
  3. Step 3: Cross multiply
    497,253.38x = 764,758.13 × 764,758.13
  4. Step 4: Simplify right side
    497,253.38x = 584,854,989,753.52
  5. Step 5: Solve for x
    x = 584,854,989,753.52/497,253.38
  6. Step 6: Final answer
    x = 1,176,170.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.