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Finding the Third Proportional to 707.20 and 1,550.95

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Solution

The third proportional to 707.20 and 1,550.95 is: 3,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.20 : 1,550.95 = 1,550.95 : x
  2. Step 2: Convert to fraction form
    707.20/1,550.95 = 1,550.95/x
  3. Step 3: Cross multiply
    707.20x = 1,550.95 × 1,550.95
  4. Step 4: Simplify right side
    707.20x = 2,405,455.60
  5. Step 5: Solve for x
    x = 2,405,455.60/707.20
  6. Step 6: Final answer
    x = 3,401.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.