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Finding the Third Proportional to 371,982 and 810,393

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Solution

The third proportional to 371,982 and 810,393 is: 1,765,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,982 : 810,393 = 810,393 : x
  2. Step 2: Convert to fraction form
    371,982/810,393 = 810,393/x
  3. Step 3: Cross multiply
    371,982x = 810,393 × 810,393
  4. Step 4: Simplify right side
    371,982x = 656,736,814,449
  5. Step 5: Solve for x
    x = 656,736,814,449/371,982
  6. Step 6: Final answer
    x = 1,765,506.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.