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Finding the Third Proportional to 752.06 and 856.69

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Solution

The third proportional to 752.06 and 856.69 is: 975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.06 : 856.69 = 856.69 : x
  2. Step 2: Convert to fraction form
    752.06/856.69 = 856.69/x
  3. Step 3: Cross multiply
    752.06x = 856.69 × 856.69
  4. Step 4: Simplify right side
    752.06x = 733,913.47
  5. Step 5: Solve for x
    x = 733,913.47/752.06
  6. Step 6: Final answer
    x = 975.87

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.