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Finding the Third Proportional to 224,126 and 485,588

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Solution

The third proportional to 224,126 and 485,588 is: 1,052,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,126 : 485,588 = 485,588 : x
  2. Step 2: Convert to fraction form
    224,126/485,588 = 485,588/x
  3. Step 3: Cross multiply
    224,126x = 485,588 × 485,588
  4. Step 4: Simplify right side
    224,126x = 235,795,705,744
  5. Step 5: Solve for x
    x = 235,795,705,744/224,126
  6. Step 6: Final answer
    x = 1,052,067.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.