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Finding the Third Proportional to 373,827 and 810,753

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Solution

The third proportional to 373,827 and 810,753 is: 1,758,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,827 : 810,753 = 810,753 : x
  2. Step 2: Convert to fraction form
    373,827/810,753 = 810,753/x
  3. Step 3: Cross multiply
    373,827x = 810,753 × 810,753
  4. Step 4: Simplify right side
    373,827x = 657,320,427,009
  5. Step 5: Solve for x
    x = 657,320,427,009/373,827
  6. Step 6: Final answer
    x = 1,758,354.61

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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.