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Finding the Third Proportional to 705.75 and 1,484.06

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Solution

The third proportional to 705.75 and 1,484.06 is: 3,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 1,484.06 = 1,484.06 : x
  2. Step 2: Convert to fraction form
    705.75/1,484.06 = 1,484.06/x
  3. Step 3: Cross multiply
    705.75x = 1,484.06 × 1,484.06
  4. Step 4: Simplify right side
    705.75x = 2,202,441.50
  5. Step 5: Solve for x
    x = 2,202,441.50/705.75
  6. Step 6: Final answer
    x = 3,120.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.