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Finding the Third Proportional to 329,521.75 and 527,449.38

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Solution

The third proportional to 329,521.75 and 527,449.38 is: 844,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,521.75 : 527,449.38 = 527,449.38 : x
  2. Step 2: Convert to fraction form
    329,521.75/527,449.38 = 527,449.38/x
  3. Step 3: Cross multiply
    329,521.75x = 527,449.38 × 527,449.38
  4. Step 4: Simplify right side
    329,521.75x = 278,202,843,187.89
  5. Step 5: Solve for x
    x = 278,202,843,187.89/329,521.75
  6. Step 6: Final answer
    x = 844,262.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.