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Finding the Third Proportional to 386,487 and 534,041

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Solution

The third proportional to 386,487 and 534,041 is: 737,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,487 : 534,041 = 534,041 : x
  2. Step 2: Convert to fraction form
    386,487/534,041 = 534,041/x
  3. Step 3: Cross multiply
    386,487x = 534,041 × 534,041
  4. Step 4: Simplify right side
    386,487x = 285,199,789,681
  5. Step 5: Solve for x
    x = 285,199,789,681/386,487
  6. Step 6: Final answer
    x = 737,928.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.