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Finding the Third Proportional to 303,709.50 and 445,692.38

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Solution

The third proportional to 303,709.50 and 445,692.38 is: 654,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709.50 : 445,692.38 = 445,692.38 : x
  2. Step 2: Convert to fraction form
    303,709.50/445,692.38 = 445,692.38/x
  3. Step 3: Cross multiply
    303,709.50x = 445,692.38 × 445,692.38
  4. Step 4: Simplify right side
    303,709.50x = 198,641,693,133.14
  5. Step 5: Solve for x
    x = 198,641,693,133.14/303,709.50
  6. Step 6: Final answer
    x = 654,051.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.