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Finding the Third Proportional to 224,704.13 and 482,456.25

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Solution

The third proportional to 224,704.13 and 482,456.25 is: 1,035,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,704.13 : 482,456.25 = 482,456.25 : x
  2. Step 2: Convert to fraction form
    224,704.13/482,456.25 = 482,456.25/x
  3. Step 3: Cross multiply
    224,704.13x = 482,456.25 × 482,456.25
  4. Step 4: Simplify right side
    224,704.13x = 232,764,033,164.06
  5. Step 5: Solve for x
    x = 232,764,033,164.06/224,704.13
  6. Step 6: Final answer
    x = 1,035,868.98

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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.