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Finding the Third Proportional to 306,949 and 723,568

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Solution

The third proportional to 306,949 and 723,568 is: 1,705,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,949 : 723,568 = 723,568 : x
  2. Step 2: Convert to fraction form
    306,949/723,568 = 723,568/x
  3. Step 3: Cross multiply
    306,949x = 723,568 × 723,568
  4. Step 4: Simplify right side
    306,949x = 523,550,650,624
  5. Step 5: Solve for x
    x = 523,550,650,624/306,949
  6. Step 6: Final answer
    x = 1,705,660.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.