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Finding the Third Proportional to 275,279.75 and 416,716.50

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Solution

The third proportional to 275,279.75 and 416,716.50 is: 630,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,279.75 : 416,716.50 = 416,716.50 : x
  2. Step 2: Convert to fraction form
    275,279.75/416,716.50 = 416,716.50/x
  3. Step 3: Cross multiply
    275,279.75x = 416,716.50 × 416,716.50
  4. Step 4: Simplify right side
    275,279.75x = 173,652,641,372.25
  5. Step 5: Solve for x
    x = 173,652,641,372.25/275,279.75
  6. Step 6: Final answer
    x = 630,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.