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Finding the Third Proportional to 466.31 and 606.09

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Solution

The third proportional to 466.31 and 606.09 is: 787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 606.09 = 606.09 : x
  2. Step 2: Convert to fraction form
    466.31/606.09 = 606.09/x
  3. Step 3: Cross multiply
    466.31x = 606.09 × 606.09
  4. Step 4: Simplify right side
    466.31x = 367,349.63
  5. Step 5: Solve for x
    x = 367,349.63/466.31
  6. Step 6: Final answer
    x = 787.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.