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Finding the Third Proportional to 523,998 and 790,977

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Solution

The third proportional to 523,998 and 790,977 is: 1,193,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,998 : 790,977 = 790,977 : x
  2. Step 2: Convert to fraction form
    523,998/790,977 = 790,977/x
  3. Step 3: Cross multiply
    523,998x = 790,977 × 790,977
  4. Step 4: Simplify right side
    523,998x = 625,644,614,529
  5. Step 5: Solve for x
    x = 625,644,614,529/523,998
  6. Step 6: Final answer
    x = 1,193,982.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.