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Finding the Third Proportional to 406.06 and 754.45

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Solution

The third proportional to 406.06 and 754.45 is: 1,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 754.45 = 754.45 : x
  2. Step 2: Convert to fraction form
    406.06/754.45 = 754.45/x
  3. Step 3: Cross multiply
    406.06x = 754.45 × 754.45
  4. Step 4: Simplify right side
    406.06x = 569,196.20
  5. Step 5: Solve for x
    x = 569,196.20/406.06
  6. Step 6: Final answer
    x = 1,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.