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Finding the Third Proportional to 409.06 and 553.69

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Solution

The third proportional to 409.06 and 553.69 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 553.69 = 553.69 : x
  2. Step 2: Convert to fraction form
    409.06/553.69 = 553.69/x
  3. Step 3: Cross multiply
    409.06x = 553.69 × 553.69
  4. Step 4: Simplify right side
    409.06x = 306,569.85
  5. Step 5: Solve for x
    x = 306,569.85/409.06
  6. Step 6: Final answer
    x = 749.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.