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Finding the Third Proportional to 395.24 and 590.68

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Solution

The third proportional to 395.24 and 590.68 is: 882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 590.68 = 590.68 : x
  2. Step 2: Convert to fraction form
    395.24/590.68 = 590.68/x
  3. Step 3: Cross multiply
    395.24x = 590.68 × 590.68
  4. Step 4: Simplify right side
    395.24x = 348,900.19
  5. Step 5: Solve for x
    x = 348,900.19/395.24
  6. Step 6: Final answer
    x = 882.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.