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Finding the Third Proportional to 307,006.50 and 629,214

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Solution

The third proportional to 307,006.50 and 629,214 is: 1,289,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006.50 : 629,214 = 629,214 : x
  2. Step 2: Convert to fraction form
    307,006.50/629,214 = 629,214/x
  3. Step 3: Cross multiply
    307,006.50x = 629,214 × 629,214
  4. Step 4: Simplify right side
    307,006.50x = 395,910,257,796
  5. Step 5: Solve for x
    x = 395,910,257,796/307,006.50
  6. Step 6: Final answer
    x = 1,289,582.66

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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.