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Finding the Third Proportional to 437,964.75 and 941,396.63

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Solution

The third proportional to 437,964.75 and 941,396.63 is: 2,023,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,964.75 : 941,396.63 = 941,396.63 : x
  2. Step 2: Convert to fraction form
    437,964.75/941,396.63 = 941,396.63/x
  3. Step 3: Cross multiply
    437,964.75x = 941,396.63 × 941,396.63
  4. Step 4: Simplify right side
    437,964.75x = 886,227,605,561.39
  5. Step 5: Solve for x
    x = 886,227,605,561.39/437,964.75
  6. Step 6: Final answer
    x = 2,023,513.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.