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Finding the Third Proportional to 548.34 and 738.66

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Solution

The third proportional to 548.34 and 738.66 is: 995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 738.66 = 738.66 : x
  2. Step 2: Convert to fraction form
    548.34/738.66 = 738.66/x
  3. Step 3: Cross multiply
    548.34x = 738.66 × 738.66
  4. Step 4: Simplify right side
    548.34x = 545,613.06
  5. Step 5: Solve for x
    x = 545,613.06/548.34
  6. Step 6: Final answer
    x = 995.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.