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Finding the Third Proportional to 231,762 and 330,587

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Solution

The third proportional to 231,762 and 330,587 is: 471,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,762 : 330,587 = 330,587 : x
  2. Step 2: Convert to fraction form
    231,762/330,587 = 330,587/x
  3. Step 3: Cross multiply
    231,762x = 330,587 × 330,587
  4. Step 4: Simplify right side
    231,762x = 109,287,764,569
  5. Step 5: Solve for x
    x = 109,287,764,569/231,762
  6. Step 6: Final answer
    x = 471,551.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.