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Finding the Third Proportional to 397.41 and 585.98

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Solution

The third proportional to 397.41 and 585.98 is: 864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 585.98 = 585.98 : x
  2. Step 2: Convert to fraction form
    397.41/585.98 = 585.98/x
  3. Step 3: Cross multiply
    397.41x = 585.98 × 585.98
  4. Step 4: Simplify right side
    397.41x = 343,377.69
  5. Step 5: Solve for x
    x = 343,377.69/397.41
  6. Step 6: Final answer
    x = 864.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.