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Finding the Third Proportional to 713.88 and 1,522.25

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Solution

The third proportional to 713.88 and 1,522.25 is: 3,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 1,522.25 = 1,522.25 : x
  2. Step 2: Convert to fraction form
    713.88/1,522.25 = 1,522.25/x
  3. Step 3: Cross multiply
    713.88x = 1,522.25 × 1,522.25
  4. Step 4: Simplify right side
    713.88x = 2,317,245.06
  5. Step 5: Solve for x
    x = 2,317,245.06/713.88
  6. Step 6: Final answer
    x = 3,246.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.