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Finding the Third Proportional to 224,767.41 and 481,417.17

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Solution

The third proportional to 224,767.41 and 481,417.17 is: 1,031,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,767.41 : 481,417.17 = 481,417.17 : x
  2. Step 2: Convert to fraction form
    224,767.41/481,417.17 = 481,417.17/x
  3. Step 3: Cross multiply
    224,767.41x = 481,417.17 × 481,417.17
  4. Step 4: Simplify right side
    224,767.41x = 231,762,493,376.12
  5. Step 5: Solve for x
    x = 231,762,493,376.12/224,767.41
  6. Step 6: Final answer
    x = 1,031,121.45

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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.