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Finding the Third Proportional to 375,019 and 580,834

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Solution

The third proportional to 375,019 and 580,834 is: 899,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,019 : 580,834 = 580,834 : x
  2. Step 2: Convert to fraction form
    375,019/580,834 = 580,834/x
  3. Step 3: Cross multiply
    375,019x = 580,834 × 580,834
  4. Step 4: Simplify right side
    375,019x = 337,368,135,556
  5. Step 5: Solve for x
    x = 337,368,135,556/375,019
  6. Step 6: Final answer
    x = 899,602.78

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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.