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Finding the Third Proportional to 552,420 and 836,098

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Solution

The third proportional to 552,420 and 836,098 is: 1,265,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,420 : 836,098 = 836,098 : x
  2. Step 2: Convert to fraction form
    552,420/836,098 = 836,098/x
  3. Step 3: Cross multiply
    552,420x = 836,098 × 836,098
  4. Step 4: Simplify right side
    552,420x = 699,059,865,604
  5. Step 5: Solve for x
    x = 699,059,865,604/552,420
  6. Step 6: Final answer
    x = 1,265,449.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.