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Finding the Third Proportional to 417,858.50 and 902,217.75

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Solution

The third proportional to 417,858.50 and 902,217.75 is: 1,948,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,858.50 : 902,217.75 = 902,217.75 : x
  2. Step 2: Convert to fraction form
    417,858.50/902,217.75 = 902,217.75/x
  3. Step 3: Cross multiply
    417,858.50x = 902,217.75 × 902,217.75
  4. Step 4: Simplify right side
    417,858.50x = 813,996,868,415.06
  5. Step 5: Solve for x
    x = 813,996,868,415.06/417,858.50
  6. Step 6: Final answer
    x = 1,948,020.37

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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.