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Finding the Third Proportional to 339,500.25 and 746,794.50

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Solution

The third proportional to 339,500.25 and 746,794.50 is: 1,642,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,500.25 : 746,794.50 = 746,794.50 : x
  2. Step 2: Convert to fraction form
    339,500.25/746,794.50 = 746,794.50/x
  3. Step 3: Cross multiply
    339,500.25x = 746,794.50 × 746,794.50
  4. Step 4: Simplify right side
    339,500.25x = 557,702,025,230.25
  5. Step 5: Solve for x
    x = 557,702,025,230.25/339,500.25
  6. Step 6: Final answer
    x = 1,642,714.62

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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.