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Finding the Third Proportional to 224,775 and 481,534.88

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Solution

The third proportional to 224,775 and 481,534.88 is: 1,031,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 481,534.88 = 481,534.88 : x
  2. Step 2: Convert to fraction form
    224,775/481,534.88 = 481,534.88/x
  3. Step 3: Cross multiply
    224,775x = 481,534.88 × 481,534.88
  4. Step 4: Simplify right side
    224,775x = 231,875,835,841.27
  5. Step 5: Solve for x
    x = 231,875,835,841.27/224,775
  6. Step 6: Final answer
    x = 1,031,590.86

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Why These Related Problems?

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