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Finding the Third Proportional to 460.75 and 729.38

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Solution

The third proportional to 460.75 and 729.38 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 729.38 = 729.38 : x
  2. Step 2: Convert to fraction form
    460.75/729.38 = 729.38/x
  3. Step 3: Cross multiply
    460.75x = 729.38 × 729.38
  4. Step 4: Simplify right side
    460.75x = 531,987.89
  5. Step 5: Solve for x
    x = 531,987.89/460.75
  6. Step 6: Final answer
    x = 1,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.