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Finding the Third Proportional to 396,621.14 and 604,224.14

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Solution

The third proportional to 396,621.14 and 604,224.14 is: 920,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,621.14 : 604,224.14 = 604,224.14 : x
  2. Step 2: Convert to fraction form
    396,621.14/604,224.14 = 604,224.14/x
  3. Step 3: Cross multiply
    396,621.14x = 604,224.14 × 604,224.14
  4. Step 4: Simplify right side
    396,621.14x = 365,086,812,114.02
  5. Step 5: Solve for x
    x = 365,086,812,114.02/396,621.14
  6. Step 6: Final answer
    x = 920,492.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.