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Finding the Third Proportional to 748.50 and 1,597

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Solution

The third proportional to 748.50 and 1,597 is: 3,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.50 : 1,597 = 1,597 : x
  2. Step 2: Convert to fraction form
    748.50/1,597 = 1,597/x
  3. Step 3: Cross multiply
    748.50x = 1,597 × 1,597
  4. Step 4: Simplify right side
    748.50x = 2,550,409
  5. Step 5: Solve for x
    x = 2,550,409/748.50
  6. Step 6: Final answer
    x = 3,407.36

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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.