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Finding the Third Proportional to 705.75 and 1,073.75

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Solution

The third proportional to 705.75 and 1,073.75 is: 1,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 1,073.75 = 1,073.75 : x
  2. Step 2: Convert to fraction form
    705.75/1,073.75 = 1,073.75/x
  3. Step 3: Cross multiply
    705.75x = 1,073.75 × 1,073.75
  4. Step 4: Simplify right side
    705.75x = 1,152,939.06
  5. Step 5: Solve for x
    x = 1,152,939.06/705.75
  6. Step 6: Final answer
    x = 1,633.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.