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Finding the Third Proportional to 475.03 and 606.09

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Solution

The third proportional to 475.03 and 606.09 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.03 : 606.09 = 606.09 : x
  2. Step 2: Convert to fraction form
    475.03/606.09 = 606.09/x
  3. Step 3: Cross multiply
    475.03x = 606.09 × 606.09
  4. Step 4: Simplify right side
    475.03x = 367,349.63
  5. Step 5: Solve for x
    x = 367,349.63/475.03
  6. Step 6: Final answer
    x = 773.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.