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Finding the Third Proportional to 427,898 and 598,197

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Solution

The third proportional to 427,898 and 598,197 is: 836,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,898 : 598,197 = 598,197 : x
  2. Step 2: Convert to fraction form
    427,898/598,197 = 598,197/x
  3. Step 3: Cross multiply
    427,898x = 598,197 × 598,197
  4. Step 4: Simplify right side
    427,898x = 357,839,650,809
  5. Step 5: Solve for x
    x = 357,839,650,809/427,898
  6. Step 6: Final answer
    x = 836,273.25

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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.