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Finding the Third Proportional to 282,438 and 414,234

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Solution

The third proportional to 282,438 and 414,234 is: 607,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438 : 414,234 = 414,234 : x
  2. Step 2: Convert to fraction form
    282,438/414,234 = 414,234/x
  3. Step 3: Cross multiply
    282,438x = 414,234 × 414,234
  4. Step 4: Simplify right side
    282,438x = 171,589,806,756
  5. Step 5: Solve for x
    x = 171,589,806,756/282,438
  6. Step 6: Final answer
    x = 607,530.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.