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Finding the Third Proportional to 412,785 and 870,331.50

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Solution

The third proportional to 412,785 and 870,331.50 is: 1,835,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,785 : 870,331.50 = 870,331.50 : x
  2. Step 2: Convert to fraction form
    412,785/870,331.50 = 870,331.50/x
  3. Step 3: Cross multiply
    412,785x = 870,331.50 × 870,331.50
  4. Step 4: Simplify right side
    412,785x = 757,476,919,892.25
  5. Step 5: Solve for x
    x = 757,476,919,892.25/412,785
  6. Step 6: Final answer
    x = 1,835,039.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.