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Finding the Third Proportional to 367,974 and 553,782

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Solution

The third proportional to 367,974 and 553,782 is: 833,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,974 : 553,782 = 553,782 : x
  2. Step 2: Convert to fraction form
    367,974/553,782 = 553,782/x
  3. Step 3: Cross multiply
    367,974x = 553,782 × 553,782
  4. Step 4: Simplify right side
    367,974x = 306,674,503,524
  5. Step 5: Solve for x
    x = 306,674,503,524/367,974
  6. Step 6: Final answer
    x = 833,413.51

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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.