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Finding the Third Proportional to 242,692.88 and 379,884.09

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Solution

The third proportional to 242,692.88 and 379,884.09 is: 594,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692.88 : 379,884.09 = 379,884.09 : x
  2. Step 2: Convert to fraction form
    242,692.88/379,884.09 = 379,884.09/x
  3. Step 3: Cross multiply
    242,692.88x = 379,884.09 × 379,884.09
  4. Step 4: Simplify right side
    242,692.88x = 144,311,924,684.26
  5. Step 5: Solve for x
    x = 144,311,924,684.26/242,692.88
  6. Step 6: Final answer
    x = 594,627.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.