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Finding the Third Proportional to 375,932 and 814,189

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Solution

The third proportional to 375,932 and 814,189 is: 1,763,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,932 : 814,189 = 814,189 : x
  2. Step 2: Convert to fraction form
    375,932/814,189 = 814,189/x
  3. Step 3: Cross multiply
    375,932x = 814,189 × 814,189
  4. Step 4: Simplify right side
    375,932x = 662,903,727,721
  5. Step 5: Solve for x
    x = 662,903,727,721/375,932
  6. Step 6: Final answer
    x = 1,763,360.73

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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.