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Finding the Third Proportional to 224,739 and 485,469

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Solution

The third proportional to 224,739 and 485,469 is: 1,048,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,739 : 485,469 = 485,469 : x
  2. Step 2: Convert to fraction form
    224,739/485,469 = 485,469/x
  3. Step 3: Cross multiply
    224,739x = 485,469 × 485,469
  4. Step 4: Simplify right side
    224,739x = 235,680,149,961
  5. Step 5: Solve for x
    x = 235,680,149,961/224,739
  6. Step 6: Final answer
    x = 1,048,683.81

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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.