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Finding the Third Proportional to 691.38 and 1,504.20

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Solution

The third proportional to 691.38 and 1,504.20 is: 3,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.38 : 1,504.20 = 1,504.20 : x
  2. Step 2: Convert to fraction form
    691.38/1,504.20 = 1,504.20/x
  3. Step 3: Cross multiply
    691.38x = 1,504.20 × 1,504.20
  4. Step 4: Simplify right side
    691.38x = 2,262,603.54
  5. Step 5: Solve for x
    x = 2,262,603.54/691.38
  6. Step 6: Final answer
    x = 3,272.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.