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Finding the Third Proportional to 338,498 and 801,965

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Solution

The third proportional to 338,498 and 801,965 is: 1,900,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,498 : 801,965 = 801,965 : x
  2. Step 2: Convert to fraction form
    338,498/801,965 = 801,965/x
  3. Step 3: Cross multiply
    338,498x = 801,965 × 801,965
  4. Step 4: Simplify right side
    338,498x = 643,147,861,225
  5. Step 5: Solve for x
    x = 643,147,861,225/338,498
  6. Step 6: Final answer
    x = 1,900,004.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.