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Finding the Third Proportional to 224,729 and 485,449

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Solution

The third proportional to 224,729 and 485,449 is: 1,048,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,729 : 485,449 = 485,449 : x
  2. Step 2: Convert to fraction form
    224,729/485,449 = 485,449/x
  3. Step 3: Cross multiply
    224,729x = 485,449 × 485,449
  4. Step 4: Simplify right side
    224,729x = 235,660,731,601
  5. Step 5: Solve for x
    x = 235,660,731,601/224,729
  6. Step 6: Final answer
    x = 1,048,644.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.