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Finding the Third Proportional to 386,314 and 614,704

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Solution

The third proportional to 386,314 and 614,704 is: 978,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,314 : 614,704 = 614,704 : x
  2. Step 2: Convert to fraction form
    386,314/614,704 = 614,704/x
  3. Step 3: Cross multiply
    386,314x = 614,704 × 614,704
  4. Step 4: Simplify right side
    386,314x = 377,861,007,616
  5. Step 5: Solve for x
    x = 377,861,007,616/386,314
  6. Step 6: Final answer
    x = 978,118.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.