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Finding the Third Proportional to 367,101 and 753,966

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Solution

The third proportional to 367,101 and 753,966 is: 1,548,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,101 : 753,966 = 753,966 : x
  2. Step 2: Convert to fraction form
    367,101/753,966 = 753,966/x
  3. Step 3: Cross multiply
    367,101x = 753,966 × 753,966
  4. Step 4: Simplify right side
    367,101x = 568,464,729,156
  5. Step 5: Solve for x
    x = 568,464,729,156/367,101
  6. Step 6: Final answer
    x = 1,548,524.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.