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Finding the Third Proportional to 331,522 and 500,040

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Solution

The third proportional to 331,522 and 500,040 is: 754,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,522 : 500,040 = 500,040 : x
  2. Step 2: Convert to fraction form
    331,522/500,040 = 500,040/x
  3. Step 3: Cross multiply
    331,522x = 500,040 × 500,040
  4. Step 4: Simplify right side
    331,522x = 250,040,001,600
  5. Step 5: Solve for x
    x = 250,040,001,600/331,522
  6. Step 6: Final answer
    x = 754,218.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.