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Finding the Third Proportional to 374,996 and 580,801

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Solution

The third proportional to 374,996 and 580,801 is: 899,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,996 : 580,801 = 580,801 : x
  2. Step 2: Convert to fraction form
    374,996/580,801 = 580,801/x
  3. Step 3: Cross multiply
    374,996x = 580,801 × 580,801
  4. Step 4: Simplify right side
    374,996x = 337,329,801,601
  5. Step 5: Solve for x
    x = 337,329,801,601/374,996
  6. Step 6: Final answer
    x = 899,555.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.