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Finding the Third Proportional to 238,776 and 500,496

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Solution

The third proportional to 238,776 and 500,496 is: 1,049,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,776 : 500,496 = 500,496 : x
  2. Step 2: Convert to fraction form
    238,776/500,496 = 500,496/x
  3. Step 3: Cross multiply
    238,776x = 500,496 × 500,496
  4. Step 4: Simplify right side
    238,776x = 250,496,246,016
  5. Step 5: Solve for x
    x = 250,496,246,016/238,776
  6. Step 6: Final answer
    x = 1,049,084.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.