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Finding the Third Proportional to 224,719.03 and 482,789.53

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Solution

The third proportional to 224,719.03 and 482,789.53 is: 1,037,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,719.03 : 482,789.53 = 482,789.53 : x
  2. Step 2: Convert to fraction form
    224,719.03/482,789.53 = 482,789.53/x
  3. Step 3: Cross multiply
    224,719.03x = 482,789.53 × 482,789.53
  4. Step 4: Simplify right side
    224,719.03x = 233,085,731,484.60
  5. Step 5: Solve for x
    x = 233,085,731,484.60/224,719.03
  6. Step 6: Final answer
    x = 1,037,231.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.