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Finding the Third Proportional to 279,739 and 603,704

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Solution

The third proportional to 279,739 and 603,704 is: 1,302,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,739 : 603,704 = 603,704 : x
  2. Step 2: Convert to fraction form
    279,739/603,704 = 603,704/x
  3. Step 3: Cross multiply
    279,739x = 603,704 × 603,704
  4. Step 4: Simplify right side
    279,739x = 364,458,519,616
  5. Step 5: Solve for x
    x = 364,458,519,616/279,739
  6. Step 6: Final answer
    x = 1,302,852.01

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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.