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Finding the Third Proportional to 422,165 and 622,084.50

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Solution

The third proportional to 422,165 and 622,084.50 is: 916,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,165 : 622,084.50 = 622,084.50 : x
  2. Step 2: Convert to fraction form
    422,165/622,084.50 = 622,084.50/x
  3. Step 3: Cross multiply
    422,165x = 622,084.50 × 622,084.50
  4. Step 4: Simplify right side
    422,165x = 386,989,125,140.25
  5. Step 5: Solve for x
    x = 386,989,125,140.25/422,165
  6. Step 6: Final answer
    x = 916,677.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.