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Finding the Third Proportional to 332,972 and 733,816

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Solution

The third proportional to 332,972 and 733,816 is: 1,617,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,972 : 733,816 = 733,816 : x
  2. Step 2: Convert to fraction form
    332,972/733,816 = 733,816/x
  3. Step 3: Cross multiply
    332,972x = 733,816 × 733,816
  4. Step 4: Simplify right side
    332,972x = 538,485,921,856
  5. Step 5: Solve for x
    x = 538,485,921,856/332,972
  6. Step 6: Final answer
    x = 1,617,210.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.