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Finding the Third Proportional to 691.88 and 1,083.94

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Solution

The third proportional to 691.88 and 1,083.94 is: 1,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 1,083.94 = 1,083.94 : x
  2. Step 2: Convert to fraction form
    691.88/1,083.94 = 1,083.94/x
  3. Step 3: Cross multiply
    691.88x = 1,083.94 × 1,083.94
  4. Step 4: Simplify right side
    691.88x = 1,174,920.50
  5. Step 5: Solve for x
    x = 1,174,920.50/691.88
  6. Step 6: Final answer
    x = 1,698.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.