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Finding the Third Proportional to 224,646 and 488,649

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Solution

The third proportional to 224,646 and 488,649 is: 1,062,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,646 : 488,649 = 488,649 : x
  2. Step 2: Convert to fraction form
    224,646/488,649 = 488,649/x
  3. Step 3: Cross multiply
    224,646x = 488,649 × 488,649
  4. Step 4: Simplify right side
    224,646x = 238,777,845,201
  5. Step 5: Solve for x
    x = 238,777,845,201/224,646
  6. Step 6: Final answer
    x = 1,062,907.17

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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.