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Finding the Third Proportional to 409.43 and 598.96

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Solution

The third proportional to 409.43 and 598.96 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 598.96 = 598.96 : x
  2. Step 2: Convert to fraction form
    409.43/598.96 = 598.96/x
  3. Step 3: Cross multiply
    409.43x = 598.96 × 598.96
  4. Step 4: Simplify right side
    409.43x = 358,749.53
  5. Step 5: Solve for x
    x = 358,749.53/409.43
  6. Step 6: Final answer
    x = 876.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.