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Finding the Third Proportional to 224,124 and 485,580

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Solution

The third proportional to 224,124 and 485,580 is: 1,052,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,124 : 485,580 = 485,580 : x
  2. Step 2: Convert to fraction form
    224,124/485,580 = 485,580/x
  3. Step 3: Cross multiply
    224,124x = 485,580 × 485,580
  4. Step 4: Simplify right side
    224,124x = 235,787,936,400
  5. Step 5: Solve for x
    x = 235,787,936,400/224,124
  6. Step 6: Final answer
    x = 1,052,042.34

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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.