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Finding the Third Proportional to 310 and 736.75

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Solution

The third proportional to 310 and 736.75 is: 1,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 736.75 = 736.75 : x
  2. Step 2: Convert to fraction form
    310/736.75 = 736.75/x
  3. Step 3: Cross multiply
    310x = 736.75 × 736.75
  4. Step 4: Simplify right side
    310x = 542,800.56
  5. Step 5: Solve for x
    x = 542,800.56/310
  6. Step 6: Final answer
    x = 1,750.97

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.