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Finding the Third Proportional to 373,956 and 800,370

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Solution

The third proportional to 373,956 and 800,370 is: 1,713,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,956 : 800,370 = 800,370 : x
  2. Step 2: Convert to fraction form
    373,956/800,370 = 800,370/x
  3. Step 3: Cross multiply
    373,956x = 800,370 × 800,370
  4. Step 4: Simplify right side
    373,956x = 640,592,136,900
  5. Step 5: Solve for x
    x = 640,592,136,900/373,956
  6. Step 6: Final answer
    x = 1,713,014.73

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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.