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Finding the Third Proportional to 410,244.50 and 886,099

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Solution

The third proportional to 410,244.50 and 886,099 is: 1,913,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,244.50 : 886,099 = 886,099 : x
  2. Step 2: Convert to fraction form
    410,244.50/886,099 = 886,099/x
  3. Step 3: Cross multiply
    410,244.50x = 886,099 × 886,099
  4. Step 4: Simplify right side
    410,244.50x = 785,171,437,801
  5. Step 5: Solve for x
    x = 785,171,437,801/410,244.50
  6. Step 6: Final answer
    x = 1,913,910.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.