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Finding the Third Proportional to 534,799 and 802,314

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Solution

The third proportional to 534,799 and 802,314 is: 1,203,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,799 : 802,314 = 802,314 : x
  2. Step 2: Convert to fraction form
    534,799/802,314 = 802,314/x
  3. Step 3: Cross multiply
    534,799x = 802,314 × 802,314
  4. Step 4: Simplify right side
    534,799x = 643,707,754,596
  5. Step 5: Solve for x
    x = 643,707,754,596/534,799
  6. Step 6: Final answer
    x = 1,203,644.27

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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.