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Finding the Third Proportional to 224,722 and 491,043

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Solution

The third proportional to 224,722 and 491,043 is: 1,072,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,722 : 491,043 = 491,043 : x
  2. Step 2: Convert to fraction form
    224,722/491,043 = 491,043/x
  3. Step 3: Cross multiply
    224,722x = 491,043 × 491,043
  4. Step 4: Simplify right side
    224,722x = 241,123,227,849
  5. Step 5: Solve for x
    x = 241,123,227,849/224,722
  6. Step 6: Final answer
    x = 1,072,984.52

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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.