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Finding the Third Proportional to 422.06 and 497.06

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Solution

The third proportional to 422.06 and 497.06 is: 585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 497.06 = 497.06 : x
  2. Step 2: Convert to fraction form
    422.06/497.06 = 497.06/x
  3. Step 3: Cross multiply
    422.06x = 497.06 × 497.06
  4. Step 4: Simplify right side
    422.06x = 247,071.13
  5. Step 5: Solve for x
    x = 247,071.13/422.06
  6. Step 6: Final answer
    x = 585.39

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.