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Finding the Third Proportional to 473.25 and 694.55

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Solution

The third proportional to 473.25 and 694.55 is: 1,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 694.55 = 694.55 : x
  2. Step 2: Convert to fraction form
    473.25/694.55 = 694.55/x
  3. Step 3: Cross multiply
    473.25x = 694.55 × 694.55
  4. Step 4: Simplify right side
    473.25x = 482,395.36
  5. Step 5: Solve for x
    x = 482,395.36/473.25
  6. Step 6: Final answer
    x = 1,019.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.