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Finding the Third Proportional to 387,848 and 600,204

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Solution

The third proportional to 387,848 and 600,204 is: 928,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,848 : 600,204 = 600,204 : x
  2. Step 2: Convert to fraction form
    387,848/600,204 = 600,204/x
  3. Step 3: Cross multiply
    387,848x = 600,204 × 600,204
  4. Step 4: Simplify right side
    387,848x = 360,244,841,616
  5. Step 5: Solve for x
    x = 360,244,841,616/387,848
  6. Step 6: Final answer
    x = 928,829.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.