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Finding the Third Proportional to 373,982 and 810,656

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Solution

The third proportional to 373,982 and 810,656 is: 1,757,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,982 : 810,656 = 810,656 : x
  2. Step 2: Convert to fraction form
    373,982/810,656 = 810,656/x
  3. Step 3: Cross multiply
    373,982x = 810,656 × 810,656
  4. Step 4: Simplify right side
    373,982x = 657,163,150,336
  5. Step 5: Solve for x
    x = 657,163,150,336/373,982
  6. Step 6: Final answer
    x = 1,757,205.29

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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.