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Finding the Third Proportional to 367,104 and 753,972

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Solution

The third proportional to 367,104 and 753,972 is: 1,548,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,104 : 753,972 = 753,972 : x
  2. Step 2: Convert to fraction form
    367,104/753,972 = 753,972/x
  3. Step 3: Cross multiply
    367,104x = 753,972 × 753,972
  4. Step 4: Simplify right side
    367,104x = 568,473,776,784
  5. Step 5: Solve for x
    x = 568,473,776,784/367,104
  6. Step 6: Final answer
    x = 1,548,536.05

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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.