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Finding the Third Proportional to 282,344 and 587,920

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Solution

The third proportional to 282,344 and 587,920 is: 1,224,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344 : 587,920 = 587,920 : x
  2. Step 2: Convert to fraction form
    282,344/587,920 = 587,920/x
  3. Step 3: Cross multiply
    282,344x = 587,920 × 587,920
  4. Step 4: Simplify right side
    282,344x = 345,649,926,400
  5. Step 5: Solve for x
    x = 345,649,926,400/282,344
  6. Step 6: Final answer
    x = 1,224,215.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.