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Finding the Third Proportional to 353,629.69 and 723,601.22

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Solution

The third proportional to 353,629.69 and 723,601.22 is: 1,480,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,629.69 : 723,601.22 = 723,601.22 : x
  2. Step 2: Convert to fraction form
    353,629.69/723,601.22 = 723,601.22/x
  3. Step 3: Cross multiply
    353,629.69x = 723,601.22 × 723,601.22
  4. Step 4: Simplify right side
    353,629.69x = 523,598,723,776.49
  5. Step 5: Solve for x
    x = 523,598,723,776.49/353,629.69
  6. Step 6: Final answer
    x = 1,480,641.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.