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Finding the Third Proportional to 224,862 and 481,602

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Solution

The third proportional to 224,862 and 481,602 is: 1,031,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,862 : 481,602 = 481,602 : x
  2. Step 2: Convert to fraction form
    224,862/481,602 = 481,602/x
  3. Step 3: Cross multiply
    224,862x = 481,602 × 481,602
  4. Step 4: Simplify right side
    224,862x = 231,940,486,404
  5. Step 5: Solve for x
    x = 231,940,486,404/224,862
  6. Step 6: Final answer
    x = 1,031,479.25

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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.