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Finding the Third Proportional to 224,403 and 490,926

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Solution

The third proportional to 224,403 and 490,926 is: 1,073,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403 : 490,926 = 490,926 : x
  2. Step 2: Convert to fraction form
    224,403/490,926 = 490,926/x
  3. Step 3: Cross multiply
    224,403x = 490,926 × 490,926
  4. Step 4: Simplify right side
    224,403x = 241,008,337,476
  5. Step 5: Solve for x
    x = 241,008,337,476/224,403
  6. Step 6: Final answer
    x = 1,073,997.84

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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.