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Finding the Third Proportional to 387,842 and 600,195

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Solution

The third proportional to 387,842 and 600,195 is: 928,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,842 : 600,195 = 600,195 : x
  2. Step 2: Convert to fraction form
    387,842/600,195 = 600,195/x
  3. Step 3: Cross multiply
    387,842x = 600,195 × 600,195
  4. Step 4: Simplify right side
    387,842x = 360,234,038,025
  5. Step 5: Solve for x
    x = 360,234,038,025/387,842
  6. Step 6: Final answer
    x = 928,816.47

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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.