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Finding the Third Proportional to 224,486 and 488,250

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Solution

The third proportional to 224,486 and 488,250 is: 1,061,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,486 : 488,250 = 488,250 : x
  2. Step 2: Convert to fraction form
    224,486/488,250 = 488,250/x
  3. Step 3: Cross multiply
    224,486x = 488,250 × 488,250
  4. Step 4: Simplify right side
    224,486x = 238,388,062,500
  5. Step 5: Solve for x
    x = 238,388,062,500/224,486
  6. Step 6: Final answer
    x = 1,061,928.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.