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Finding the Third Proportional to 337,753 and 527,078

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Solution

The third proportional to 337,753 and 527,078 is: 822,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,753 : 527,078 = 527,078 : x
  2. Step 2: Convert to fraction form
    337,753/527,078 = 527,078/x
  3. Step 3: Cross multiply
    337,753x = 527,078 × 527,078
  4. Step 4: Simplify right side
    337,753x = 277,811,218,084
  5. Step 5: Solve for x
    x = 277,811,218,084/337,753
  6. Step 6: Final answer
    x = 822,527.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.