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Finding the Third Proportional to 373,597 and 810,698

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Solution

The third proportional to 373,597 and 810,698 is: 1,759,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,597 : 810,698 = 810,698 : x
  2. Step 2: Convert to fraction form
    373,597/810,698 = 810,698/x
  3. Step 3: Cross multiply
    373,597x = 810,698 × 810,698
  4. Step 4: Simplify right side
    373,597x = 657,231,247,204
  5. Step 5: Solve for x
    x = 657,231,247,204/373,597
  6. Step 6: Final answer
    x = 1,759,198.41

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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.