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Finding the Third Proportional to 224,471 and 484,551

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Solution

The third proportional to 224,471 and 484,551 is: 1,045,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,471 : 484,551 = 484,551 : x
  2. Step 2: Convert to fraction form
    224,471/484,551 = 484,551/x
  3. Step 3: Cross multiply
    224,471x = 484,551 × 484,551
  4. Step 4: Simplify right side
    224,471x = 234,789,671,601
  5. Step 5: Solve for x
    x = 234,789,671,601/224,471
  6. Step 6: Final answer
    x = 1,045,968.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.