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Finding the Third Proportional to 286.75 and 474.38

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Solution

The third proportional to 286.75 and 474.38 is: 784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 474.38 = 474.38 : x
  2. Step 2: Convert to fraction form
    286.75/474.38 = 474.38/x
  3. Step 3: Cross multiply
    286.75x = 474.38 × 474.38
  4. Step 4: Simplify right side
    286.75x = 225,031.64
  5. Step 5: Solve for x
    x = 225,031.64/286.75
  6. Step 6: Final answer
    x = 784.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.