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Finding the Third Proportional to 373,941 and 800,343

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Solution

The third proportional to 373,941 and 800,343 is: 1,712,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,941 : 800,343 = 800,343 : x
  2. Step 2: Convert to fraction form
    373,941/800,343 = 800,343/x
  3. Step 3: Cross multiply
    373,941x = 800,343 × 800,343
  4. Step 4: Simplify right side
    373,941x = 640,548,917,649
  5. Step 5: Solve for x
    x = 640,548,917,649/373,941
  6. Step 6: Final answer
    x = 1,712,967.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.