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Finding the Third Proportional to 526,964.48 and 789,005.81

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Solution

The third proportional to 526,964.48 and 789,005.81 is: 1,181,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,964.48 : 789,005.81 = 789,005.81 : x
  2. Step 2: Convert to fraction form
    526,964.48/789,005.81 = 789,005.81/x
  3. Step 3: Cross multiply
    526,964.48x = 789,005.81 × 789,005.81
  4. Step 4: Simplify right side
    526,964.48x = 622,530,172,158.79
  5. Step 5: Solve for x
    x = 622,530,172,158.79/526,964.48
  6. Step 6: Final answer
    x = 1,181,351.29

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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.