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Finding the Third Proportional to 280,424 and 611,596

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Solution

The third proportional to 280,424 and 611,596 is: 1,333,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424 : 611,596 = 611,596 : x
  2. Step 2: Convert to fraction form
    280,424/611,596 = 611,596/x
  3. Step 3: Cross multiply
    280,424x = 611,596 × 611,596
  4. Step 4: Simplify right side
    280,424x = 374,049,667,216
  5. Step 5: Solve for x
    x = 374,049,667,216/280,424
  6. Step 6: Final answer
    x = 1,333,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.