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Finding the Third Proportional to 224,424.50 and 491,765.50

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Solution

The third proportional to 224,424.50 and 491,765.50 is: 1,077,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,424.50 : 491,765.50 = 491,765.50 : x
  2. Step 2: Convert to fraction form
    224,424.50/491,765.50 = 491,765.50/x
  3. Step 3: Cross multiply
    224,424.50x = 491,765.50 × 491,765.50
  4. Step 4: Simplify right side
    224,424.50x = 241,833,306,990.25
  5. Step 5: Solve for x
    x = 241,833,306,990.25/224,424.50
  6. Step 6: Final answer
    x = 1,077,570.88

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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.