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Finding the Third Proportional to 262,822 and 411,734

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Solution

The third proportional to 262,822 and 411,734 is: 645,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,822 : 411,734 = 411,734 : x
  2. Step 2: Convert to fraction form
    262,822/411,734 = 411,734/x
  3. Step 3: Cross multiply
    262,822x = 411,734 × 411,734
  4. Step 4: Simplify right side
    262,822x = 169,524,886,756
  5. Step 5: Solve for x
    x = 169,524,886,756/262,822
  6. Step 6: Final answer
    x = 645,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.