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Finding the Third Proportional to 407,192 and 886,671.50

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Solution

The third proportional to 407,192 and 886,671.50 is: 1,930,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,192 : 886,671.50 = 886,671.50 : x
  2. Step 2: Convert to fraction form
    407,192/886,671.50 = 886,671.50/x
  3. Step 3: Cross multiply
    407,192x = 886,671.50 × 886,671.50
  4. Step 4: Simplify right side
    407,192x = 786,186,348,912.25
  5. Step 5: Solve for x
    x = 786,186,348,912.25/407,192
  6. Step 6: Final answer
    x = 1,930,750.97

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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.