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Finding the Third Proportional to 397,185 and 851,227.50

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Solution

The third proportional to 397,185 and 851,227.50 is: 1,824,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,185 : 851,227.50 = 851,227.50 : x
  2. Step 2: Convert to fraction form
    397,185/851,227.50 = 851,227.50/x
  3. Step 3: Cross multiply
    397,185x = 851,227.50 × 851,227.50
  4. Step 4: Simplify right side
    397,185x = 724,588,256,756.25
  5. Step 5: Solve for x
    x = 724,588,256,756.25/397,185
  6. Step 6: Final answer
    x = 1,824,309.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.