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Finding the Third Proportional to 276,630.19 and 416,884.22

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Solution

The third proportional to 276,630.19 and 416,884.22 is: 628,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,630.19 : 416,884.22 = 416,884.22 : x
  2. Step 2: Convert to fraction form
    276,630.19/416,884.22 = 416,884.22/x
  3. Step 3: Cross multiply
    276,630.19x = 416,884.22 × 416,884.22
  4. Step 4: Simplify right side
    276,630.19x = 173,792,451,842.80
  5. Step 5: Solve for x
    x = 173,792,451,842.80/276,630.19
  6. Step 6: Final answer
    x = 628,248.32

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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.