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Finding the Third Proportional to 377,082.38 and 527,464.69

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Solution

The third proportional to 377,082.38 and 527,464.69 is: 737,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082.38 : 527,464.69 = 527,464.69 : x
  2. Step 2: Convert to fraction form
    377,082.38/527,464.69 = 527,464.69/x
  3. Step 3: Cross multiply
    377,082.38x = 527,464.69 × 527,464.69
  4. Step 4: Simplify right side
    377,082.38x = 278,218,996,559.47
  5. Step 5: Solve for x
    x = 278,218,996,559.47/377,082.38
  6. Step 6: Final answer
    x = 737,820.21

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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.