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Finding the Third Proportional to 377,084 and 527,468

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Solution

The third proportional to 377,084 and 527,468 is: 737,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,084 : 527,468 = 527,468 : x
  2. Step 2: Convert to fraction form
    377,084/527,468 = 527,468/x
  3. Step 3: Cross multiply
    377,084x = 527,468 × 527,468
  4. Step 4: Simplify right side
    377,084x = 278,222,491,024
  5. Step 5: Solve for x
    x = 278,222,491,024/377,084
  6. Step 6: Final answer
    x = 737,826.30

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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.