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Finding the Third Proportional to 712.50 and 1,522.75

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Solution

The third proportional to 712.50 and 1,522.75 is: 3,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 1,522.75 = 1,522.75 : x
  2. Step 2: Convert to fraction form
    712.50/1,522.75 = 1,522.75/x
  3. Step 3: Cross multiply
    712.50x = 1,522.75 × 1,522.75
  4. Step 4: Simplify right side
    712.50x = 2,318,767.56
  5. Step 5: Solve for x
    x = 2,318,767.56/712.50
  6. Step 6: Final answer
    x = 3,254.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.