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Finding the Third Proportional to 694.69 and 1,295.72

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Solution

The third proportional to 694.69 and 1,295.72 is: 2,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.69 : 1,295.72 = 1,295.72 : x
  2. Step 2: Convert to fraction form
    694.69/1,295.72 = 1,295.72/x
  3. Step 3: Cross multiply
    694.69x = 1,295.72 × 1,295.72
  4. Step 4: Simplify right side
    694.69x = 1,678,887.08
  5. Step 5: Solve for x
    x = 1,678,887.08/694.69
  6. Step 6: Final answer
    x = 2,416.75

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.