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Finding the Third Proportional to 279,317 and 592,150

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Solution

The third proportional to 279,317 and 592,150 is: 1,255,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,317 : 592,150 = 592,150 : x
  2. Step 2: Convert to fraction form
    279,317/592,150 = 592,150/x
  3. Step 3: Cross multiply
    279,317x = 592,150 × 592,150
  4. Step 4: Simplify right side
    279,317x = 350,641,622,500
  5. Step 5: Solve for x
    x = 350,641,622,500/279,317
  6. Step 6: Final answer
    x = 1,255,353.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.