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Finding the Third Proportional to 497,507.06 and 789,046.31

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Solution

The third proportional to 497,507.06 and 789,046.31 is: 1,251,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,507.06 : 789,046.31 = 789,046.31 : x
  2. Step 2: Convert to fraction form
    497,507.06/789,046.31 = 789,046.31/x
  3. Step 3: Cross multiply
    497,507.06x = 789,046.31 × 789,046.31
  4. Step 4: Simplify right side
    497,507.06x = 622,594,083,269.85
  5. Step 5: Solve for x
    x = 622,594,083,269.85/497,507.06
  6. Step 6: Final answer
    x = 1,251,427.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.