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Finding the Third Proportional to 431,469.75 and 938,692.88

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Solution

The third proportional to 431,469.75 and 938,692.88 is: 2,042,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,469.75 : 938,692.88 = 938,692.88 : x
  2. Step 2: Convert to fraction form
    431,469.75/938,692.88 = 938,692.88/x
  3. Step 3: Cross multiply
    431,469.75x = 938,692.88 × 938,692.88
  4. Step 4: Simplify right side
    431,469.75x = 881,144,313,575.77
  5. Step 5: Solve for x
    x = 881,144,313,575.77/431,469.75
  6. Step 6: Final answer
    x = 2,042,192.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.