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Finding the Third Proportional to 534,361 and 836,534

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Solution

The third proportional to 534,361 and 836,534 is: 1,309,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,361 : 836,534 = 836,534 : x
  2. Step 2: Convert to fraction form
    534,361/836,534 = 836,534/x
  3. Step 3: Cross multiply
    534,361x = 836,534 × 836,534
  4. Step 4: Simplify right side
    534,361x = 699,789,133,156
  5. Step 5: Solve for x
    x = 699,789,133,156/534,361
  6. Step 6: Final answer
    x = 1,309,581.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.