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Finding the Third Proportional to 386,864 and 591,744

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Solution

The third proportional to 386,864 and 591,744 is: 905,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,864 : 591,744 = 591,744 : x
  2. Step 2: Convert to fraction form
    386,864/591,744 = 591,744/x
  3. Step 3: Cross multiply
    386,864x = 591,744 × 591,744
  4. Step 4: Simplify right side
    386,864x = 350,160,961,536
  5. Step 5: Solve for x
    x = 350,160,961,536/386,864
  6. Step 6: Final answer
    x = 905,126.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.