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Finding the Third Proportional to 224,373 and 490,983

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Solution

The third proportional to 224,373 and 490,983 is: 1,074,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,373 : 490,983 = 490,983 : x
  2. Step 2: Convert to fraction form
    224,373/490,983 = 490,983/x
  3. Step 3: Cross multiply
    224,373x = 490,983 × 490,983
  4. Step 4: Simplify right side
    224,373x = 241,064,306,289
  5. Step 5: Solve for x
    x = 241,064,306,289/224,373
  6. Step 6: Final answer
    x = 1,074,390.89

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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.