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Finding the Third Proportional to 523,754 and 836,824

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Solution

The third proportional to 523,754 and 836,824 is: 1,337,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,754 : 836,824 = 836,824 : x
  2. Step 2: Convert to fraction form
    523,754/836,824 = 836,824/x
  3. Step 3: Cross multiply
    523,754x = 836,824 × 836,824
  4. Step 4: Simplify right side
    523,754x = 700,274,406,976
  5. Step 5: Solve for x
    x = 700,274,406,976/523,754
  6. Step 6: Final answer
    x = 1,337,029.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.