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Finding the Third Proportional to 224,372 and 490,981

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Solution

The third proportional to 224,372 and 490,981 is: 1,074,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,372 : 490,981 = 490,981 : x
  2. Step 2: Convert to fraction form
    224,372/490,981 = 490,981/x
  3. Step 3: Cross multiply
    224,372x = 490,981 × 490,981
  4. Step 4: Simplify right side
    224,372x = 241,062,342,361
  5. Step 5: Solve for x
    x = 241,062,342,361/224,372
  6. Step 6: Final answer
    x = 1,074,386.92

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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.