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Finding the Third Proportional to 597 and 1,296.38

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Solution

The third proportional to 597 and 1,296.38 is: 2,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597 : 1,296.38 = 1,296.38 : x
  2. Step 2: Convert to fraction form
    597/1,296.38 = 1,296.38/x
  3. Step 3: Cross multiply
    597x = 1,296.38 × 1,296.38
  4. Step 4: Simplify right side
    597x = 1,680,588.14
  5. Step 5: Solve for x
    x = 1,680,588.14/597
  6. Step 6: Final answer
    x = 2,815.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.