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Finding the Third Proportional to 415,096 and 622,652

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Solution

The third proportional to 415,096 and 622,652 is: 933,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,096 : 622,652 = 622,652 : x
  2. Step 2: Convert to fraction form
    415,096/622,652 = 622,652/x
  3. Step 3: Cross multiply
    415,096x = 622,652 × 622,652
  4. Step 4: Simplify right side
    415,096x = 387,695,513,104
  5. Step 5: Solve for x
    x = 387,695,513,104/415,096
  6. Step 6: Final answer
    x = 933,990.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.