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Finding the Third Proportional to 552,416 and 836,092

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Solution

The third proportional to 552,416 and 836,092 is: 1,265,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,416 : 836,092 = 836,092 : x
  2. Step 2: Convert to fraction form
    552,416/836,092 = 836,092/x
  3. Step 3: Cross multiply
    552,416x = 836,092 × 836,092
  4. Step 4: Simplify right side
    552,416x = 699,049,832,464
  5. Step 5: Solve for x
    x = 699,049,832,464/552,416
  6. Step 6: Final answer
    x = 1,265,440.96

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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.