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Finding the Third Proportional to 262,579 and 396,974

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Solution

The third proportional to 262,579 and 396,974 is: 600,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,579 : 396,974 = 396,974 : x
  2. Step 2: Convert to fraction form
    262,579/396,974 = 396,974/x
  3. Step 3: Cross multiply
    262,579x = 396,974 × 396,974
  4. Step 4: Simplify right side
    262,579x = 157,588,356,676
  5. Step 5: Solve for x
    x = 157,588,356,676/262,579
  6. Step 6: Final answer
    x = 600,155.98

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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.