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Finding the Third Proportional to 224,640 and 488,643

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Solution

The third proportional to 224,640 and 488,643 is: 1,062,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,640 : 488,643 = 488,643 : x
  2. Step 2: Convert to fraction form
    224,640/488,643 = 488,643/x
  3. Step 3: Cross multiply
    224,640x = 488,643 × 488,643
  4. Step 4: Simplify right side
    224,640x = 238,771,981,449
  5. Step 5: Solve for x
    x = 238,771,981,449/224,640
  6. Step 6: Final answer
    x = 1,062,909.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.