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Finding the Third Proportional to 224,188 and 485,704

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Solution

The third proportional to 224,188 and 485,704 is: 1,052,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,188 : 485,704 = 485,704 : x
  2. Step 2: Convert to fraction form
    224,188/485,704 = 485,704/x
  3. Step 3: Cross multiply
    224,188x = 485,704 × 485,704
  4. Step 4: Simplify right side
    224,188x = 235,908,375,616
  5. Step 5: Solve for x
    x = 235,908,375,616/224,188
  6. Step 6: Final answer
    x = 1,052,279.23

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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.