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Finding the Third Proportional to 307,354.50 and 629,883

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Solution

The third proportional to 307,354.50 and 629,883 is: 1,290,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,354.50 : 629,883 = 629,883 : x
  2. Step 2: Convert to fraction form
    307,354.50/629,883 = 629,883/x
  3. Step 3: Cross multiply
    307,354.50x = 629,883 × 629,883
  4. Step 4: Simplify right side
    307,354.50x = 396,752,593,689
  5. Step 5: Solve for x
    x = 396,752,593,689/307,354.50
  6. Step 6: Final answer
    x = 1,290,863.14

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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.