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Finding the Third Proportional to 415,096 and 622,648

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Solution

The third proportional to 415,096 and 622,648 is: 933,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,096 : 622,648 = 622,648 : x
  2. Step 2: Convert to fraction form
    415,096/622,648 = 622,648/x
  3. Step 3: Cross multiply
    415,096x = 622,648 × 622,648
  4. Step 4: Simplify right side
    415,096x = 387,690,531,904
  5. Step 5: Solve for x
    x = 387,690,531,904/415,096
  6. Step 6: Final answer
    x = 933,978.00

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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.