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Finding the Third Proportional to 366,729.75 and 756,301.50

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Solution

The third proportional to 366,729.75 and 756,301.50 is: 1,559,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,729.75 : 756,301.50 = 756,301.50 : x
  2. Step 2: Convert to fraction form
    366,729.75/756,301.50 = 756,301.50/x
  3. Step 3: Cross multiply
    366,729.75x = 756,301.50 × 756,301.50
  4. Step 4: Simplify right side
    366,729.75x = 571,991,958,902.25
  5. Step 5: Solve for x
    x = 571,991,958,902.25/366,729.75
  6. Step 6: Final answer
    x = 1,559,709.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.