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Finding the Third Proportional to 349,991 and 541,392

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Solution

The third proportional to 349,991 and 541,392 is: 837,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,991 : 541,392 = 541,392 : x
  2. Step 2: Convert to fraction form
    349,991/541,392 = 541,392/x
  3. Step 3: Cross multiply
    349,991x = 541,392 × 541,392
  4. Step 4: Simplify right side
    349,991x = 293,105,297,664
  5. Step 5: Solve for x
    x = 293,105,297,664/349,991
  6. Step 6: Final answer
    x = 837,465.24

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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.