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Finding the Third Proportional to 276,669 and 416,950.88

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Solution

The third proportional to 276,669 and 416,950.88 is: 628,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,669 : 416,950.88 = 416,950.88 : x
  2. Step 2: Convert to fraction form
    276,669/416,950.88 = 416,950.88/x
  3. Step 3: Cross multiply
    276,669x = 416,950.88 × 416,950.88
  4. Step 4: Simplify right side
    276,669x = 173,848,032,163.27
  5. Step 5: Solve for x
    x = 173,848,032,163.27/276,669
  6. Step 6: Final answer
    x = 628,361.08

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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.