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Finding the Third Proportional to 224,246 and 347,577

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Solution

The third proportional to 224,246 and 347,577 is: 538,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,246 : 347,577 = 347,577 : x
  2. Step 2: Convert to fraction form
    224,246/347,577 = 347,577/x
  3. Step 3: Cross multiply
    224,246x = 347,577 × 347,577
  4. Step 4: Simplify right side
    224,246x = 120,809,770,929
  5. Step 5: Solve for x
    x = 120,809,770,929/224,246
  6. Step 6: Final answer
    x = 538,737.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.