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Finding the Third Proportional to 224,482 and 488,241

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Solution

The third proportional to 224,482 and 488,241 is: 1,061,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,482 : 488,241 = 488,241 : x
  2. Step 2: Convert to fraction form
    224,482/488,241 = 488,241/x
  3. Step 3: Cross multiply
    224,482x = 488,241 × 488,241
  4. Step 4: Simplify right side
    224,482x = 238,379,274,081
  5. Step 5: Solve for x
    x = 238,379,274,081/224,482
  6. Step 6: Final answer
    x = 1,061,908.19

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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.