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Finding the Third Proportional to 490,694 and 730,849

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Solution

The third proportional to 490,694 and 730,849 is: 1,088,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,694 : 730,849 = 730,849 : x
  2. Step 2: Convert to fraction form
    490,694/730,849 = 730,849/x
  3. Step 3: Cross multiply
    490,694x = 730,849 × 730,849
  4. Step 4: Simplify right side
    490,694x = 534,140,260,801
  5. Step 5: Solve for x
    x = 534,140,260,801/490,694
  6. Step 6: Final answer
    x = 1,088,540.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.