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Finding the Third Proportional to 377,604 and 527,949

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Solution

The third proportional to 377,604 and 527,949 is: 738,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,604 : 527,949 = 527,949 : x
  2. Step 2: Convert to fraction form
    377,604/527,949 = 527,949/x
  3. Step 3: Cross multiply
    377,604x = 527,949 × 527,949
  4. Step 4: Simplify right side
    377,604x = 278,730,146,601
  5. Step 5: Solve for x
    x = 278,730,146,601/377,604
  6. Step 6: Final answer
    x = 738,154.65

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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.