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Finding the Third Proportional to 632.92 and 1,316.57

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Solution

The third proportional to 632.92 and 1,316.57 is: 2,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.92 : 1,316.57 = 1,316.57 : x
  2. Step 2: Convert to fraction form
    632.92/1,316.57 = 1,316.57/x
  3. Step 3: Cross multiply
    632.92x = 1,316.57 × 1,316.57
  4. Step 4: Simplify right side
    632.92x = 1,733,347.10
  5. Step 5: Solve for x
    x = 1,733,347.10/632.92
  6. Step 6: Final answer
    x = 2,738.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.