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Finding the Third Proportional to 373,976 and 811,360

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Solution

The third proportional to 373,976 and 811,360 is: 1,760,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,976 : 811,360 = 811,360 : x
  2. Step 2: Convert to fraction form
    373,976/811,360 = 811,360/x
  3. Step 3: Cross multiply
    373,976x = 811,360 × 811,360
  4. Step 4: Simplify right side
    373,976x = 658,305,049,600
  5. Step 5: Solve for x
    x = 658,305,049,600/373,976
  6. Step 6: Final answer
    x = 1,760,286.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.