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Finding the Third Proportional to 224,917 and 465,749

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Solution

The third proportional to 224,917 and 465,749 is: 964,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,917 : 465,749 = 465,749 : x
  2. Step 2: Convert to fraction form
    224,917/465,749 = 465,749/x
  3. Step 3: Cross multiply
    224,917x = 465,749 × 465,749
  4. Step 4: Simplify right side
    224,917x = 216,922,131,001
  5. Step 5: Solve for x
    x = 216,922,131,001/224,917
  6. Step 6: Final answer
    x = 964,454.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.