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Finding the Third Proportional to 387,750 and 852,042

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Solution

The third proportional to 387,750 and 852,042 is: 1,872,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,750 : 852,042 = 852,042 : x
  2. Step 2: Convert to fraction form
    387,750/852,042 = 852,042/x
  3. Step 3: Cross multiply
    387,750x = 852,042 × 852,042
  4. Step 4: Simplify right side
    387,750x = 725,975,569,764
  5. Step 5: Solve for x
    x = 725,975,569,764/387,750
  6. Step 6: Final answer
    x = 1,872,277.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.