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Finding the Third Proportional to 1,597 and 2,298

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Solution

The third proportional to 1,597 and 2,298 is: 3,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 2,298 = 2,298 : x
  2. Step 2: Convert to fraction form
    1,597/2,298 = 2,298/x
  3. Step 3: Cross multiply
    1,597x = 2,298 × 2,298
  4. Step 4: Simplify right side
    1,597x = 5,280,804
  5. Step 5: Solve for x
    x = 5,280,804/1,597
  6. Step 6: Final answer
    x = 3,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.