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Finding the Third Proportional to 400,157.25 and 610,398.56

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Solution

The third proportional to 400,157.25 and 610,398.56 is: 931,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,157.25 : 610,398.56 = 610,398.56 : x
  2. Step 2: Convert to fraction form
    400,157.25/610,398.56 = 610,398.56/x
  3. Step 3: Cross multiply
    400,157.25x = 610,398.56 × 610,398.56
  4. Step 4: Simplify right side
    400,157.25x = 372,586,405,102.07
  5. Step 5: Solve for x
    x = 372,586,405,102.07/400,157.25
  6. Step 6: Final answer
    x = 931,099.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.