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Finding the Third Proportional to 279 and 657.63

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Solution

The third proportional to 279 and 657.63 is: 1,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 657.63 = 657.63 : x
  2. Step 2: Convert to fraction form
    279/657.63 = 657.63/x
  3. Step 3: Cross multiply
    279x = 657.63 × 657.63
  4. Step 4: Simplify right side
    279x = 432,470.64
  5. Step 5: Solve for x
    x = 432,470.64/279
  6. Step 6: Final answer
    x = 1,550.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.