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Finding the Third Proportional to 369,868 and 541,634

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Solution

The third proportional to 369,868 and 541,634 is: 793,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,868 : 541,634 = 541,634 : x
  2. Step 2: Convert to fraction form
    369,868/541,634 = 541,634/x
  3. Step 3: Cross multiply
    369,868x = 541,634 × 541,634
  4. Step 4: Simplify right side
    369,868x = 293,367,389,956
  5. Step 5: Solve for x
    x = 293,367,389,956/369,868
  6. Step 6: Final answer
    x = 793,167.81

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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.