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Finding the Third Proportional to 375,229.50 and 821,849

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Solution

The third proportional to 375,229.50 and 821,849 is: 1,800,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,229.50 : 821,849 = 821,849 : x
  2. Step 2: Convert to fraction form
    375,229.50/821,849 = 821,849/x
  3. Step 3: Cross multiply
    375,229.50x = 821,849 × 821,849
  4. Step 4: Simplify right side
    375,229.50x = 675,435,778,801
  5. Step 5: Solve for x
    x = 675,435,778,801/375,229.50
  6. Step 6: Final answer
    x = 1,800,060.44

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