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Finding the Third Proportional to 361,620 and 756,288

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Solution

The third proportional to 361,620 and 756,288 is: 1,581,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,620 : 756,288 = 756,288 : x
  2. Step 2: Convert to fraction form
    361,620/756,288 = 756,288/x
  3. Step 3: Cross multiply
    361,620x = 756,288 × 756,288
  4. Step 4: Simplify right side
    361,620x = 571,971,538,944
  5. Step 5: Solve for x
    x = 571,971,538,944/361,620
  6. Step 6: Final answer
    x = 1,581,692.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.