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Finding the Third Proportional to 224,745 and 485,481

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Solution

The third proportional to 224,745 and 485,481 is: 1,048,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745 : 485,481 = 485,481 : x
  2. Step 2: Convert to fraction form
    224,745/485,481 = 485,481/x
  3. Step 3: Cross multiply
    224,745x = 485,481 × 485,481
  4. Step 4: Simplify right side
    224,745x = 235,691,801,361
  5. Step 5: Solve for x
    x = 235,691,801,361/224,745
  6. Step 6: Final answer
    x = 1,048,707.65

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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.