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Finding the Third Proportional to 308,582 and 462,872

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Solution

The third proportional to 308,582 and 462,872 is: 694,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,582 : 462,872 = 462,872 : x
  2. Step 2: Convert to fraction form
    308,582/462,872 = 462,872/x
  3. Step 3: Cross multiply
    308,582x = 462,872 × 462,872
  4. Step 4: Simplify right side
    308,582x = 214,250,488,384
  5. Step 5: Solve for x
    x = 214,250,488,384/308,582
  6. Step 6: Final answer
    x = 694,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.