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Finding the Third Proportional to 220,342 and 482,200

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Solution

The third proportional to 220,342 and 482,200 is: 1,055,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,342 : 482,200 = 482,200 : x
  2. Step 2: Convert to fraction form
    220,342/482,200 = 482,200/x
  3. Step 3: Cross multiply
    220,342x = 482,200 × 482,200
  4. Step 4: Simplify right side
    220,342x = 232,516,840,000
  5. Step 5: Solve for x
    x = 232,516,840,000/220,342
  6. Step 6: Final answer
    x = 1,055,254.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.