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Finding the Third Proportional to 484.28 and 729.89

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Solution

The third proportional to 484.28 and 729.89 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.28 : 729.89 = 729.89 : x
  2. Step 2: Convert to fraction form
    484.28/729.89 = 729.89/x
  3. Step 3: Cross multiply
    484.28x = 729.89 × 729.89
  4. Step 4: Simplify right side
    484.28x = 532,739.26
  5. Step 5: Solve for x
    x = 532,739.26/484.28
  6. Step 6: Final answer
    x = 1,100.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.