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Finding the Third Proportional to 766,796.50 and 1,160,936.50

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Solution

The third proportional to 766,796.50 and 1,160,936.50 is: 1,757,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,796.50 : 1,160,936.50 = 1,160,936.50 : x
  2. Step 2: Convert to fraction form
    766,796.50/1,160,936.50 = 1,160,936.50/x
  3. Step 3: Cross multiply
    766,796.50x = 1,160,936.50 × 1,160,936.50
  4. Step 4: Simplify right side
    766,796.50x = 1,347,773,557,032.25
  5. Step 5: Solve for x
    x = 1,347,773,557,032.25/766,796.50
  6. Step 6: Final answer
    x = 1,757,667.85

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