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Finding the Third Proportional to 527,048 and 789,132

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Solution

The third proportional to 527,048 and 789,132 is: 1,181,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,048 : 789,132 = 789,132 : x
  2. Step 2: Convert to fraction form
    527,048/789,132 = 789,132/x
  3. Step 3: Cross multiply
    527,048x = 789,132 × 789,132
  4. Step 4: Simplify right side
    527,048x = 622,729,313,424
  5. Step 5: Solve for x
    x = 622,729,313,424/527,048
  6. Step 6: Final answer
    x = 1,181,541.93

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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.