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Finding the Third Proportional to 304.50 and 593.81

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Solution

The third proportional to 304.50 and 593.81 is: 1,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 593.81 = 593.81 : x
  2. Step 2: Convert to fraction form
    304.50/593.81 = 593.81/x
  3. Step 3: Cross multiply
    304.50x = 593.81 × 593.81
  4. Step 4: Simplify right side
    304.50x = 352,613.29
  5. Step 5: Solve for x
    x = 352,613.29/304.50
  6. Step 6: Final answer
    x = 1,158.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.