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Finding the Third Proportional to 526,980 and 789,032

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Solution

The third proportional to 526,980 and 789,032 is: 1,181,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,980 : 789,032 = 789,032 : x
  2. Step 2: Convert to fraction form
    526,980/789,032 = 789,032/x
  3. Step 3: Cross multiply
    526,980x = 789,032 × 789,032
  4. Step 4: Simplify right side
    526,980x = 622,571,497,024
  5. Step 5: Solve for x
    x = 622,571,497,024/526,980
  6. Step 6: Final answer
    x = 1,181,394.92

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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.