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Finding the Third Proportional to 458.75 and 1,109.75

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Solution

The third proportional to 458.75 and 1,109.75 is: 2,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 1,109.75 = 1,109.75 : x
  2. Step 2: Convert to fraction form
    458.75/1,109.75 = 1,109.75/x
  3. Step 3: Cross multiply
    458.75x = 1,109.75 × 1,109.75
  4. Step 4: Simplify right side
    458.75x = 1,231,545.06
  5. Step 5: Solve for x
    x = 1,231,545.06/458.75
  6. Step 6: Final answer
    x = 2,684.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.