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Finding the Third Proportional to 373,953 and 800,367

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Solution

The third proportional to 373,953 and 800,367 is: 1,713,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,953 : 800,367 = 800,367 : x
  2. Step 2: Convert to fraction form
    373,953/800,367 = 800,367/x
  3. Step 3: Cross multiply
    373,953x = 800,367 × 800,367
  4. Step 4: Simplify right side
    373,953x = 640,587,334,689
  5. Step 5: Solve for x
    x = 640,587,334,689/373,953
  6. Step 6: Final answer
    x = 1,713,015.63

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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.