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Finding the Third Proportional to 278,224 and 599,636

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Solution

The third proportional to 278,224 and 599,636 is: 1,292,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224 : 599,636 = 599,636 : x
  2. Step 2: Convert to fraction form
    278,224/599,636 = 599,636/x
  3. Step 3: Cross multiply
    278,224x = 599,636 × 599,636
  4. Step 4: Simplify right side
    278,224x = 359,563,332,496
  5. Step 5: Solve for x
    x = 359,563,332,496/278,224
  6. Step 6: Final answer
    x = 1,292,351.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.