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Finding the Third Proportional to 526,977 and 789,024

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Solution

The third proportional to 526,977 and 789,024 is: 1,181,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,977 : 789,024 = 789,024 : x
  2. Step 2: Convert to fraction form
    526,977/789,024 = 789,024/x
  3. Step 3: Cross multiply
    526,977x = 789,024 × 789,024
  4. Step 4: Simplify right side
    526,977x = 622,558,872,576
  5. Step 5: Solve for x
    x = 622,558,872,576/526,977
  6. Step 6: Final answer
    x = 1,181,377.69

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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.