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Finding the Third Proportional to 694.83 and 1,013.77

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Solution

The third proportional to 694.83 and 1,013.77 is: 1,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.83 : 1,013.77 = 1,013.77 : x
  2. Step 2: Convert to fraction form
    694.83/1,013.77 = 1,013.77/x
  3. Step 3: Cross multiply
    694.83x = 1,013.77 × 1,013.77
  4. Step 4: Simplify right side
    694.83x = 1,027,720.74
  5. Step 5: Solve for x
    x = 1,027,720.74/694.83
  6. Step 6: Final answer
    x = 1,479.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.