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Finding the Third Proportional to 705.75 and 972.56

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Solution

The third proportional to 705.75 and 972.56 is: 1,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 972.56 = 972.56 : x
  2. Step 2: Convert to fraction form
    705.75/972.56 = 972.56/x
  3. Step 3: Cross multiply
    705.75x = 972.56 × 972.56
  4. Step 4: Simplify right side
    705.75x = 945,877.82
  5. Step 5: Solve for x
    x = 945,877.82/705.75
  6. Step 6: Final answer
    x = 1,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.