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Finding the Third Proportional to 242,227.13 and 521,470.69

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Solution

The third proportional to 242,227.13 and 521,470.69 is: 1,122,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,227.13 : 521,470.69 = 521,470.69 : x
  2. Step 2: Convert to fraction form
    242,227.13/521,470.69 = 521,470.69/x
  3. Step 3: Cross multiply
    242,227.13x = 521,470.69 × 521,470.69
  4. Step 4: Simplify right side
    242,227.13x = 271,931,677,921.72
  5. Step 5: Solve for x
    x = 271,931,677,921.72/242,227.13
  6. Step 6: Final answer
    x = 1,122,630.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.