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Finding the Third Proportional to 431,353 and 937,224.50

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Solution

The third proportional to 431,353 and 937,224.50 is: 2,036,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353 : 937,224.50 = 937,224.50 : x
  2. Step 2: Convert to fraction form
    431,353/937,224.50 = 937,224.50/x
  3. Step 3: Cross multiply
    431,353x = 937,224.50 × 937,224.50
  4. Step 4: Simplify right side
    431,353x = 878,389,763,400.25
  5. Step 5: Solve for x
    x = 878,389,763,400.25/431,353
  6. Step 6: Final answer
    x = 2,036,359.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.