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Finding the Third Proportional to 352,582.50 and 775,149

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Solution

The third proportional to 352,582.50 and 775,149 is: 1,704,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,582.50 : 775,149 = 775,149 : x
  2. Step 2: Convert to fraction form
    352,582.50/775,149 = 775,149/x
  3. Step 3: Cross multiply
    352,582.50x = 775,149 × 775,149
  4. Step 4: Simplify right side
    352,582.50x = 600,855,972,201
  5. Step 5: Solve for x
    x = 600,855,972,201/352,582.50
  6. Step 6: Final answer
    x = 1,704,157.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.