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Finding the Third Proportional to 371,337 and 541,357

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Solution

The third proportional to 371,337 and 541,357 is: 789,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,337 : 541,357 = 541,357 : x
  2. Step 2: Convert to fraction form
    371,337/541,357 = 541,357/x
  3. Step 3: Cross multiply
    371,337x = 541,357 × 541,357
  4. Step 4: Simplify right side
    371,337x = 293,067,401,449
  5. Step 5: Solve for x
    x = 293,067,401,449/371,337
  6. Step 6: Final answer
    x = 789,222.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.