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Finding the Third Proportional to 444.67 and 714.47

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Solution

The third proportional to 444.67 and 714.47 is: 1,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.67 : 714.47 = 714.47 : x
  2. Step 2: Convert to fraction form
    444.67/714.47 = 714.47/x
  3. Step 3: Cross multiply
    444.67x = 714.47 × 714.47
  4. Step 4: Simplify right side
    444.67x = 510,469.78
  5. Step 5: Solve for x
    x = 510,469.78/444.67
  6. Step 6: Final answer
    x = 1,147.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.