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Finding the Third Proportional to 415,530 and 620,561.25

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Solution

The third proportional to 415,530 and 620,561.25 is: 926,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,530 : 620,561.25 = 620,561.25 : x
  2. Step 2: Convert to fraction form
    415,530/620,561.25 = 620,561.25/x
  3. Step 3: Cross multiply
    415,530x = 620,561.25 × 620,561.25
  4. Step 4: Simplify right side
    415,530x = 385,096,265,001.56
  5. Step 5: Solve for x
    x = 385,096,265,001.56/415,530
  6. Step 6: Final answer
    x = 926,759.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.