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Finding the Third Proportional to 242,724.09 and 527,797.27

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Solution

The third proportional to 242,724.09 and 527,797.27 is: 1,147,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,724.09 : 527,797.27 = 527,797.27 : x
  2. Step 2: Convert to fraction form
    242,724.09/527,797.27 = 527,797.27/x
  3. Step 3: Cross multiply
    242,724.09x = 527,797.27 × 527,797.27
  4. Step 4: Simplify right side
    242,724.09x = 278,569,953,601.23
  5. Step 5: Solve for x
    x = 278,569,953,601.23/242,724.09
  6. Step 6: Final answer
    x = 1,147,681.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.