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Finding the Third Proportional to 352,500.75 and 723,667.50

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Solution

The third proportional to 352,500.75 and 723,667.50 is: 1,485,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,500.75 : 723,667.50 = 723,667.50 : x
  2. Step 2: Convert to fraction form
    352,500.75/723,667.50 = 723,667.50/x
  3. Step 3: Cross multiply
    352,500.75x = 723,667.50 × 723,667.50
  4. Step 4: Simplify right side
    352,500.75x = 523,694,650,556.25
  5. Step 5: Solve for x
    x = 523,694,650,556.25/352,500.75
  6. Step 6: Final answer
    x = 1,485,655.42

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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.