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Finding the Third Proportional to 458.75 and 704.38

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Solution

The third proportional to 458.75 and 704.38 is: 1,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 704.38 = 704.38 : x
  2. Step 2: Convert to fraction form
    458.75/704.38 = 704.38/x
  3. Step 3: Cross multiply
    458.75x = 704.38 × 704.38
  4. Step 4: Simplify right side
    458.75x = 496,144.14
  5. Step 5: Solve for x
    x = 496,144.14/458.75
  6. Step 6: Final answer
    x = 1,081.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.