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Finding the Third Proportional to 323.02 and 713.11

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Solution

The third proportional to 323.02 and 713.11 is: 1,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.02 : 713.11 = 713.11 : x
  2. Step 2: Convert to fraction form
    323.02/713.11 = 713.11/x
  3. Step 3: Cross multiply
    323.02x = 713.11 × 713.11
  4. Step 4: Simplify right side
    323.02x = 508,524.98
  5. Step 5: Solve for x
    x = 508,524.98/323.02
  6. Step 6: Final answer
    x = 1,574.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.