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Finding the Third Proportional to 590.44 and 924.19

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Solution

The third proportional to 590.44 and 924.19 is: 1,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.44 : 924.19 = 924.19 : x
  2. Step 2: Convert to fraction form
    590.44/924.19 = 924.19/x
  3. Step 3: Cross multiply
    590.44x = 924.19 × 924.19
  4. Step 4: Simplify right side
    590.44x = 854,122.54
  5. Step 5: Solve for x
    x = 854,122.54/590.44
  6. Step 6: Final answer
    x = 1,446.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.