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Finding the Third Proportional to 355,186 and 541,643

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Solution

The third proportional to 355,186 and 541,643 is: 825,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,186 : 541,643 = 541,643 : x
  2. Step 2: Convert to fraction form
    355,186/541,643 = 541,643/x
  3. Step 3: Cross multiply
    355,186x = 541,643 × 541,643
  4. Step 4: Simplify right side
    355,186x = 293,377,139,449
  5. Step 5: Solve for x
    x = 293,377,139,449/355,186
  6. Step 6: Final answer
    x = 825,981.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.