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Finding the Third Proportional to 224,648 and 488,653

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Solution

The third proportional to 224,648 and 488,653 is: 1,062,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,648 : 488,653 = 488,653 : x
  2. Step 2: Convert to fraction form
    224,648/488,653 = 488,653/x
  3. Step 3: Cross multiply
    224,648x = 488,653 × 488,653
  4. Step 4: Simplify right side
    224,648x = 238,781,754,409
  5. Step 5: Solve for x
    x = 238,781,754,409/224,648
  6. Step 6: Final answer
    x = 1,062,915.11

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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.