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Finding the Third Proportional to 359,804 and 774,981

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Solution

The third proportional to 359,804 and 774,981 is: 1,669,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,804 : 774,981 = 774,981 : x
  2. Step 2: Convert to fraction form
    359,804/774,981 = 774,981/x
  3. Step 3: Cross multiply
    359,804x = 774,981 × 774,981
  4. Step 4: Simplify right side
    359,804x = 600,595,550,361
  5. Step 5: Solve for x
    x = 600,595,550,361/359,804
  6. Step 6: Final answer
    x = 1,669,229.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.