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Finding the Third Proportional to 650,146.50 and 862,675.31

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Solution

The third proportional to 650,146.50 and 862,675.31 is: 1,144,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,146.50 : 862,675.31 = 862,675.31 : x
  2. Step 2: Convert to fraction form
    650,146.50/862,675.31 = 862,675.31/x
  3. Step 3: Cross multiply
    650,146.50x = 862,675.31 × 862,675.31
  4. Step 4: Simplify right side
    650,146.50x = 744,208,694,796.97
  5. Step 5: Solve for x
    x = 744,208,694,796.97/650,146.50
  6. Step 6: Final answer
    x = 1,144,678.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.