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Finding the Third Proportional to 713.75 and 1,596.25

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Solution

The third proportional to 713.75 and 1,596.25 is: 3,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 1,596.25 = 1,596.25 : x
  2. Step 2: Convert to fraction form
    713.75/1,596.25 = 1,596.25/x
  3. Step 3: Cross multiply
    713.75x = 1,596.25 × 1,596.25
  4. Step 4: Simplify right side
    713.75x = 2,548,014.06
  5. Step 5: Solve for x
    x = 2,548,014.06/713.75
  6. Step 6: Final answer
    x = 3,569.90

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.