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Finding the Third Proportional to 705.94 and 950.06

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Solution

The third proportional to 705.94 and 950.06 is: 1,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 950.06 = 950.06 : x
  2. Step 2: Convert to fraction form
    705.94/950.06 = 950.06/x
  3. Step 3: Cross multiply
    705.94x = 950.06 × 950.06
  4. Step 4: Simplify right side
    705.94x = 902,618.75
  5. Step 5: Solve for x
    x = 902,618.75/705.94
  6. Step 6: Final answer
    x = 1,278.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.