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Finding the Third Proportional to 764.75 and 930.63

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Solution

The third proportional to 764.75 and 930.63 is: 1,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.75 : 930.63 = 930.63 : x
  2. Step 2: Convert to fraction form
    764.75/930.63 = 930.63/x
  3. Step 3: Cross multiply
    764.75x = 930.63 × 930.63
  4. Step 4: Simplify right side
    764.75x = 866,062.89
  5. Step 5: Solve for x
    x = 866,062.89/764.75
  6. Step 6: Final answer
    x = 1,132.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.