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Finding the Third Proportional to 542,448 and 789,048

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Solution

The third proportional to 542,448 and 789,048 is: 1,147,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,448 : 789,048 = 789,048 : x
  2. Step 2: Convert to fraction form
    542,448/789,048 = 789,048/x
  3. Step 3: Cross multiply
    542,448x = 789,048 × 789,048
  4. Step 4: Simplify right side
    542,448x = 622,596,746,304
  5. Step 5: Solve for x
    x = 622,596,746,304/542,448
  6. Step 6: Final answer
    x = 1,147,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.