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Finding the Third Proportional to 375,049.50 and 580,893

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Solution

The third proportional to 375,049.50 and 580,893 is: 899,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,049.50 : 580,893 = 580,893 : x
  2. Step 2: Convert to fraction form
    375,049.50/580,893 = 580,893/x
  3. Step 3: Cross multiply
    375,049.50x = 580,893 × 580,893
  4. Step 4: Simplify right side
    375,049.50x = 337,436,677,449
  5. Step 5: Solve for x
    x = 337,436,677,449/375,049.50
  6. Step 6: Final answer
    x = 899,712.38

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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.