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Finding the Third Proportional to 387,204 and 586,644

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Solution

The third proportional to 387,204 and 586,644 is: 888,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,204 : 586,644 = 586,644 : x
  2. Step 2: Convert to fraction form
    387,204/586,644 = 586,644/x
  3. Step 3: Cross multiply
    387,204x = 586,644 × 586,644
  4. Step 4: Simplify right side
    387,204x = 344,151,182,736
  5. Step 5: Solve for x
    x = 344,151,182,736/387,204
  6. Step 6: Final answer
    x = 888,811.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.