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Finding the Third Proportional to 224,444 and 491,120

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Solution

The third proportional to 224,444 and 491,120 is: 1,074,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,444 : 491,120 = 491,120 : x
  2. Step 2: Convert to fraction form
    224,444/491,120 = 491,120/x
  3. Step 3: Cross multiply
    224,444x = 491,120 × 491,120
  4. Step 4: Simplify right side
    224,444x = 241,198,854,400
  5. Step 5: Solve for x
    x = 241,198,854,400/224,444
  6. Step 6: Final answer
    x = 1,074,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.