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Finding the Third Proportional to 279,612 and 444,690

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Solution

The third proportional to 279,612 and 444,690 is: 707,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,612 : 444,690 = 444,690 : x
  2. Step 2: Convert to fraction form
    279,612/444,690 = 444,690/x
  3. Step 3: Cross multiply
    279,612x = 444,690 × 444,690
  4. Step 4: Simplify right side
    279,612x = 197,749,196,100
  5. Step 5: Solve for x
    x = 197,749,196,100/279,612
  6. Step 6: Final answer
    x = 707,227.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.