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Finding the Third Proportional to 473.44 and 725.16

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Solution

The third proportional to 473.44 and 725.16 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.44 : 725.16 = 725.16 : x
  2. Step 2: Convert to fraction form
    473.44/725.16 = 725.16/x
  3. Step 3: Cross multiply
    473.44x = 725.16 × 725.16
  4. Step 4: Simplify right side
    473.44x = 525,851.59
  5. Step 5: Solve for x
    x = 525,851.59/473.44
  6. Step 6: Final answer
    x = 1,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.