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Finding the Third Proportional to 456.56 and 606.66

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Solution

The third proportional to 456.56 and 606.66 is: 806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 606.66 = 606.66 : x
  2. Step 2: Convert to fraction form
    456.56/606.66 = 606.66/x
  3. Step 3: Cross multiply
    456.56x = 606.66 × 606.66
  4. Step 4: Simplify right side
    456.56x = 368,031.81
  5. Step 5: Solve for x
    x = 368,031.81/456.56
  6. Step 6: Final answer
    x = 806.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.