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Finding the Third Proportional to 427,896 and 598,194

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Solution

The third proportional to 427,896 and 598,194 is: 836,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,896 : 598,194 = 598,194 : x
  2. Step 2: Convert to fraction form
    427,896/598,194 = 598,194/x
  3. Step 3: Cross multiply
    427,896x = 598,194 × 598,194
  4. Step 4: Simplify right side
    427,896x = 357,836,061,636
  5. Step 5: Solve for x
    x = 357,836,061,636/427,896
  6. Step 6: Final answer
    x = 836,268.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.