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Finding the Third Proportional to 524,327 and 789,086

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Solution

The third proportional to 524,327 and 789,086 is: 1,187,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,327 : 789,086 = 789,086 : x
  2. Step 2: Convert to fraction form
    524,327/789,086 = 789,086/x
  3. Step 3: Cross multiply
    524,327x = 789,086 × 789,086
  4. Step 4: Simplify right side
    524,327x = 622,656,715,396
  5. Step 5: Solve for x
    x = 622,656,715,396/524,327
  6. Step 6: Final answer
    x = 1,187,535.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.