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Finding the Third Proportional to 224,171 and 485,688

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Solution

The third proportional to 224,171 and 485,688 is: 1,052,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,171 : 485,688 = 485,688 : x
  2. Step 2: Convert to fraction form
    224,171/485,688 = 485,688/x
  3. Step 3: Cross multiply
    224,171x = 485,688 × 485,688
  4. Step 4: Simplify right side
    224,171x = 235,892,833,344
  5. Step 5: Solve for x
    x = 235,892,833,344/224,171
  6. Step 6: Final answer
    x = 1,052,289.70

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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.