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Finding the Third Proportional to 369,125 and 527,845

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Solution

The third proportional to 369,125 and 527,845 is: 754,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,125 : 527,845 = 527,845 : x
  2. Step 2: Convert to fraction form
    369,125/527,845 = 527,845/x
  3. Step 3: Cross multiply
    369,125x = 527,845 × 527,845
  4. Step 4: Simplify right side
    369,125x = 278,620,344,025
  5. Step 5: Solve for x
    x = 278,620,344,025/369,125
  6. Step 6: Final answer
    x = 754,812.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.