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Finding the Third Proportional to 280,996 and 601,496

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Solution

The third proportional to 280,996 and 601,496 is: 1,287,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,996 : 601,496 = 601,496 : x
  2. Step 2: Convert to fraction form
    280,996/601,496 = 601,496/x
  3. Step 3: Cross multiply
    280,996x = 601,496 × 601,496
  4. Step 4: Simplify right side
    280,996x = 361,797,438,016
  5. Step 5: Solve for x
    x = 361,797,438,016/280,996
  6. Step 6: Final answer
    x = 1,287,553.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.