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Finding the Third Proportional to 720.75 and 1,569.75

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Solution

The third proportional to 720.75 and 1,569.75 is: 3,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 1,569.75 = 1,569.75 : x
  2. Step 2: Convert to fraction form
    720.75/1,569.75 = 1,569.75/x
  3. Step 3: Cross multiply
    720.75x = 1,569.75 × 1,569.75
  4. Step 4: Simplify right side
    720.75x = 2,464,115.06
  5. Step 5: Solve for x
    x = 2,464,115.06/720.75
  6. Step 6: Final answer
    x = 3,418.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.