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Finding the Third Proportional to 480,679.31 and 1,025,692.88

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Solution

The third proportional to 480,679.31 and 1,025,692.88 is: 2,188,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,679.31 : 1,025,692.88 = 1,025,692.88 : x
  2. Step 2: Convert to fraction form
    480,679.31/1,025,692.88 = 1,025,692.88/x
  3. Step 3: Cross multiply
    480,679.31x = 1,025,692.88 × 1,025,692.88
  4. Step 4: Simplify right side
    480,679.31x = 1,052,045,873,825.77
  5. Step 5: Solve for x
    x = 1,052,045,873,825.77/480,679.31
  6. Step 6: Final answer
    x = 2,188,664.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.