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Finding the Third Proportional to 527,052 and 789,138

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Solution

The third proportional to 527,052 and 789,138 is: 1,181,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,052 : 789,138 = 789,138 : x
  2. Step 2: Convert to fraction form
    527,052/789,138 = 789,138/x
  3. Step 3: Cross multiply
    527,052x = 789,138 × 789,138
  4. Step 4: Simplify right side
    527,052x = 622,738,783,044
  5. Step 5: Solve for x
    x = 622,738,783,044/527,052
  6. Step 6: Final answer
    x = 1,181,550.93

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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.