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Finding the Third Proportional to 375,095.11 and 821,338.59

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Solution

The third proportional to 375,095.11 and 821,338.59 is: 1,798,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,095.11 : 821,338.59 = 821,338.59 : x
  2. Step 2: Convert to fraction form
    375,095.11/821,338.59 = 821,338.59/x
  3. Step 3: Cross multiply
    375,095.11x = 821,338.59 × 821,338.59
  4. Step 4: Simplify right side
    375,095.11x = 674,597,085,583.23
  5. Step 5: Solve for x
    x = 674,597,085,583.23/375,095.11
  6. Step 6: Final answer
    x = 1,798,469.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.