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Finding the Third Proportional to 369,141.75 and 527,863.50

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Solution

The third proportional to 369,141.75 and 527,863.50 is: 754,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,141.75 : 527,863.50 = 527,863.50 : x
  2. Step 2: Convert to fraction form
    369,141.75/527,863.50 = 527,863.50/x
  3. Step 3: Cross multiply
    369,141.75x = 527,863.50 × 527,863.50
  4. Step 4: Simplify right side
    369,141.75x = 278,639,874,632.25
  5. Step 5: Solve for x
    x = 278,639,874,632.25/369,141.75
  6. Step 6: Final answer
    x = 754,831.65

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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.