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Finding the Third Proportional to 534,359 and 836,531

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Solution

The third proportional to 534,359 and 836,531 is: 1,309,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,359 : 836,531 = 836,531 : x
  2. Step 2: Convert to fraction form
    534,359/836,531 = 836,531/x
  3. Step 3: Cross multiply
    534,359x = 836,531 × 836,531
  4. Step 4: Simplify right side
    534,359x = 699,784,113,961
  5. Step 5: Solve for x
    x = 699,784,113,961/534,359
  6. Step 6: Final answer
    x = 1,309,576.73

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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.