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Finding the Third Proportional to 279,399 and 603,438

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Solution

The third proportional to 279,399 and 603,438 is: 1,303,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,399 : 603,438 = 603,438 : x
  2. Step 2: Convert to fraction form
    279,399/603,438 = 603,438/x
  3. Step 3: Cross multiply
    279,399x = 603,438 × 603,438
  4. Step 4: Simplify right side
    279,399x = 364,137,419,844
  5. Step 5: Solve for x
    x = 364,137,419,844/279,399
  6. Step 6: Final answer
    x = 1,303,288.20

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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.