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Finding the Third Proportional to 534,806 and 802,324

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Solution

The third proportional to 534,806 and 802,324 is: 1,203,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,806 : 802,324 = 802,324 : x
  2. Step 2: Convert to fraction form
    534,806/802,324 = 802,324/x
  3. Step 3: Cross multiply
    534,806x = 802,324 × 802,324
  4. Step 4: Simplify right side
    534,806x = 643,723,800,976
  5. Step 5: Solve for x
    x = 643,723,800,976/534,806
  6. Step 6: Final answer
    x = 1,203,658.52

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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.