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Finding the Third Proportional to 407,836.50 and 889,401

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Solution

The third proportional to 407,836.50 and 889,401 is: 1,939,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836.50 : 889,401 = 889,401 : x
  2. Step 2: Convert to fraction form
    407,836.50/889,401 = 889,401/x
  3. Step 3: Cross multiply
    407,836.50x = 889,401 × 889,401
  4. Step 4: Simplify right side
    407,836.50x = 791,034,138,801
  5. Step 5: Solve for x
    x = 791,034,138,801/407,836.50
  6. Step 6: Final answer
    x = 1,939,586.42

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