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Finding the Third Proportional to 625.92 and 1,264.92

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Solution

The third proportional to 625.92 and 1,264.92 is: 2,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 1,264.92 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    625.92/1,264.92 = 1,264.92/x
  3. Step 3: Cross multiply
    625.92x = 1,264.92 × 1,264.92
  4. Step 4: Simplify right side
    625.92x = 1,600,027.35
  5. Step 5: Solve for x
    x = 1,600,027.35/625.92
  6. Step 6: Final answer
    x = 2,556.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.