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Finding the Third Proportional to 473.06 and 723.09

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Solution

The third proportional to 473.06 and 723.09 is: 1,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 723.09 = 723.09 : x
  2. Step 2: Convert to fraction form
    473.06/723.09 = 723.09/x
  3. Step 3: Cross multiply
    473.06x = 723.09 × 723.09
  4. Step 4: Simplify right side
    473.06x = 522,864.57
  5. Step 5: Solve for x
    x = 522,864.57/473.06
  6. Step 6: Final answer
    x = 1,105.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.