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Finding the Third Proportional to 224,730 and 491,059

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Solution

The third proportional to 224,730 and 491,059 is: 1,073,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,730 : 491,059 = 491,059 : x
  2. Step 2: Convert to fraction form
    224,730/491,059 = 491,059/x
  3. Step 3: Cross multiply
    224,730x = 491,059 × 491,059
  4. Step 4: Simplify right side
    224,730x = 241,138,941,481
  5. Step 5: Solve for x
    x = 241,138,941,481/224,730
  6. Step 6: Final answer
    x = 1,073,016.25

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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.