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Finding the Third Proportional to 426.09 and 462.09

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Solution

The third proportional to 426.09 and 462.09 is: 501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 462.09 = 462.09 : x
  2. Step 2: Convert to fraction form
    426.09/462.09 = 462.09/x
  3. Step 3: Cross multiply
    426.09x = 462.09 × 462.09
  4. Step 4: Simplify right side
    426.09x = 213,530.63
  5. Step 5: Solve for x
    x = 213,530.63/426.09
  6. Step 6: Final answer
    x = 501.14

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.