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Finding the Third Proportional to 337,728 and 527,040

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Solution

The third proportional to 337,728 and 527,040 is: 822,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,728 : 527,040 = 527,040 : x
  2. Step 2: Convert to fraction form
    337,728/527,040 = 527,040/x
  3. Step 3: Cross multiply
    337,728x = 527,040 × 527,040
  4. Step 4: Simplify right side
    337,728x = 277,771,161,600
  5. Step 5: Solve for x
    x = 277,771,161,600/337,728
  6. Step 6: Final answer
    x = 822,470.04

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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.