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Finding the Third Proportional to 534,801 and 802,317

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Solution

The third proportional to 534,801 and 802,317 is: 1,203,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,801 : 802,317 = 802,317 : x
  2. Step 2: Convert to fraction form
    534,801/802,317 = 802,317/x
  3. Step 3: Cross multiply
    534,801x = 802,317 × 802,317
  4. Step 4: Simplify right side
    534,801x = 643,712,568,489
  5. Step 5: Solve for x
    x = 643,712,568,489/534,801
  6. Step 6: Final answer
    x = 1,203,648.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.