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Finding the Third Proportional to 415 and 879.50

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Solution

The third proportional to 415 and 879.50 is: 1,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 879.50 = 879.50 : x
  2. Step 2: Convert to fraction form
    415/879.50 = 879.50/x
  3. Step 3: Cross multiply
    415x = 879.50 × 879.50
  4. Step 4: Simplify right side
    415x = 773,520.25
  5. Step 5: Solve for x
    x = 773,520.25/415
  6. Step 6: Final answer
    x = 1,863.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.