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Finding the Third Proportional to 694.97 and 1,499.91

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Solution

The third proportional to 694.97 and 1,499.91 is: 3,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.97 : 1,499.91 = 1,499.91 : x
  2. Step 2: Convert to fraction form
    694.97/1,499.91 = 1,499.91/x
  3. Step 3: Cross multiply
    694.97x = 1,499.91 × 1,499.91
  4. Step 4: Simplify right side
    694.97x = 2,249,718.76
  5. Step 5: Solve for x
    x = 2,249,718.76/694.97
  6. Step 6: Final answer
    x = 3,237.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.