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Finding the Third Proportional to 332.11 and 714.41

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Solution

The third proportional to 332.11 and 714.41 is: 1,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.11 : 714.41 = 714.41 : x
  2. Step 2: Convert to fraction form
    332.11/714.41 = 714.41/x
  3. Step 3: Cross multiply
    332.11x = 714.41 × 714.41
  4. Step 4: Simplify right side
    332.11x = 510,375.59
  5. Step 5: Solve for x
    x = 510,375.59/332.11
  6. Step 6: Final answer
    x = 1,536.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.