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Finding the Third Proportional to 409,384.13 and 888,350.63

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Solution

The third proportional to 409,384.13 and 888,350.63 is: 1,927,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,384.13 : 888,350.63 = 888,350.63 : x
  2. Step 2: Convert to fraction form
    409,384.13/888,350.63 = 888,350.63/x
  3. Step 3: Cross multiply
    409,384.13x = 888,350.63 × 888,350.63
  4. Step 4: Simplify right side
    409,384.13x = 789,166,832,937.89
  5. Step 5: Solve for x
    x = 789,166,832,937.89/409,384.13
  6. Step 6: Final answer
    x = 1,927,692.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.