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Finding the Third Proportional to 387,864 and 600,228

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Solution

The third proportional to 387,864 and 600,228 is: 928,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,864 : 600,228 = 600,228 : x
  2. Step 2: Convert to fraction form
    387,864/600,228 = 600,228/x
  3. Step 3: Cross multiply
    387,864x = 600,228 × 600,228
  4. Step 4: Simplify right side
    387,864x = 360,273,651,984
  5. Step 5: Solve for x
    x = 360,273,651,984/387,864
  6. Step 6: Final answer
    x = 928,865.92

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