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Finding the Third Proportional to 338,500.50 and 705,354.75

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Solution

The third proportional to 338,500.50 and 705,354.75 is: 1,469,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,500.50 : 705,354.75 = 705,354.75 : x
  2. Step 2: Convert to fraction form
    338,500.50/705,354.75 = 705,354.75/x
  3. Step 3: Cross multiply
    338,500.50x = 705,354.75 × 705,354.75
  4. Step 4: Simplify right side
    338,500.50x = 497,525,323,347.56
  5. Step 5: Solve for x
    x = 497,525,323,347.56/338,500.50
  6. Step 6: Final answer
    x = 1,469,791.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.