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Finding the Third Proportional to 418.13 and 585.56

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Solution

The third proportional to 418.13 and 585.56 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 585.56 = 585.56 : x
  2. Step 2: Convert to fraction form
    418.13/585.56 = 585.56/x
  3. Step 3: Cross multiply
    418.13x = 585.56 × 585.56
  4. Step 4: Simplify right side
    418.13x = 342,883.44
  5. Step 5: Solve for x
    x = 342,883.44/418.13
  6. Step 6: Final answer
    x = 820.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.