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Finding the Third Proportional to 705.90 and 1,520.96

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Solution

The third proportional to 705.90 and 1,520.96 is: 3,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.90 : 1,520.96 = 1,520.96 : x
  2. Step 2: Convert to fraction form
    705.90/1,520.96 = 1,520.96/x
  3. Step 3: Cross multiply
    705.90x = 1,520.96 × 1,520.96
  4. Step 4: Simplify right side
    705.90x = 2,313,334.06
  5. Step 5: Solve for x
    x = 2,313,334.06/705.90
  6. Step 6: Final answer
    x = 3,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.