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Finding the Third Proportional to 373,947 and 800,355

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Solution

The third proportional to 373,947 and 800,355 is: 1,712,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,947 : 800,355 = 800,355 : x
  2. Step 2: Convert to fraction form
    373,947/800,355 = 800,355/x
  3. Step 3: Cross multiply
    373,947x = 800,355 × 800,355
  4. Step 4: Simplify right side
    373,947x = 640,568,126,025
  5. Step 5: Solve for x
    x = 640,568,126,025/373,947
  6. Step 6: Final answer
    x = 1,712,991.75

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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.