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Finding the Third Proportional to 812.75 and 1,193.75

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Solution

The third proportional to 812.75 and 1,193.75 is: 1,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.75 : 1,193.75 = 1,193.75 : x
  2. Step 2: Convert to fraction form
    812.75/1,193.75 = 1,193.75/x
  3. Step 3: Cross multiply
    812.75x = 1,193.75 × 1,193.75
  4. Step 4: Simplify right side
    812.75x = 1,425,039.06
  5. Step 5: Solve for x
    x = 1,425,039.06/812.75
  6. Step 6: Final answer
    x = 1,753.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.