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Finding the Third Proportional to 382.88 and 907.69

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Solution

The third proportional to 382.88 and 907.69 is: 2,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 907.69 = 907.69 : x
  2. Step 2: Convert to fraction form
    382.88/907.69 = 907.69/x
  3. Step 3: Cross multiply
    382.88x = 907.69 × 907.69
  4. Step 4: Simplify right side
    382.88x = 823,896.60
  5. Step 5: Solve for x
    x = 823,896.60/382.88
  6. Step 6: Final answer
    x = 2,151.87

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.