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Finding the Third Proportional to 224,745 and 491,691

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Solution

The third proportional to 224,745 and 491,691 is: 1,075,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745 : 491,691 = 491,691 : x
  2. Step 2: Convert to fraction form
    224,745/491,691 = 491,691/x
  3. Step 3: Cross multiply
    224,745x = 491,691 × 491,691
  4. Step 4: Simplify right side
    224,745x = 241,760,039,481
  5. Step 5: Solve for x
    x = 241,760,039,481/224,745
  6. Step 6: Final answer
    x = 1,075,708.20

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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.