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Finding the Third Proportional to 382.75 and 907.88

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Solution

The third proportional to 382.75 and 907.88 is: 2,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 907.88 = 907.88 : x
  2. Step 2: Convert to fraction form
    382.75/907.88 = 907.88/x
  3. Step 3: Cross multiply
    382.75x = 907.88 × 907.88
  4. Step 4: Simplify right side
    382.75x = 824,237.02
  5. Step 5: Solve for x
    x = 824,237.02/382.75
  6. Step 6: Final answer
    x = 2,153.46

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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.