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Finding the Third Proportional to 224,780.91 and 481,624.31

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Solution

The third proportional to 224,780.91 and 481,624.31 is: 1,031,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,780.91 : 481,624.31 = 481,624.31 : x
  2. Step 2: Convert to fraction form
    224,780.91/481,624.31 = 481,624.31/x
  3. Step 3: Cross multiply
    224,780.91x = 481,624.31 × 481,624.31
  4. Step 4: Simplify right side
    224,780.91x = 231,961,978,391.10
  5. Step 5: Solve for x
    x = 231,961,978,391.10/224,780.91
  6. Step 6: Final answer
    x = 1,031,946.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.