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Finding the Third Proportional to 307,072 and 723,832

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Solution

The third proportional to 307,072 and 723,832 is: 1,706,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,072 : 723,832 = 723,832 : x
  2. Step 2: Convert to fraction form
    307,072/723,832 = 723,832/x
  3. Step 3: Cross multiply
    307,072x = 723,832 × 723,832
  4. Step 4: Simplify right side
    307,072x = 523,932,764,224
  5. Step 5: Solve for x
    x = 523,932,764,224/307,072
  6. Step 6: Final answer
    x = 1,706,221.23

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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.