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Finding the Third Proportional to 373,122 and 816,228

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Solution

The third proportional to 373,122 and 816,228 is: 1,785,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,122 : 816,228 = 816,228 : x
  2. Step 2: Convert to fraction form
    373,122/816,228 = 816,228/x
  3. Step 3: Cross multiply
    373,122x = 816,228 × 816,228
  4. Step 4: Simplify right side
    373,122x = 666,228,147,984
  5. Step 5: Solve for x
    x = 666,228,147,984/373,122
  6. Step 6: Final answer
    x = 1,785,550.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.