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Finding the Third Proportional to 542,480 and 789,096

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Solution

The third proportional to 542,480 and 789,096 is: 1,147,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,480 : 789,096 = 789,096 : x
  2. Step 2: Convert to fraction form
    542,480/789,096 = 789,096/x
  3. Step 3: Cross multiply
    542,480x = 789,096 × 789,096
  4. Step 4: Simplify right side
    542,480x = 622,672,497,216
  5. Step 5: Solve for x
    x = 622,672,497,216/542,480
  6. Step 6: Final answer
    x = 1,147,825.72

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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.