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Finding the Third Proportional to 536,540 and 804,874

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Solution

The third proportional to 536,540 and 804,874 is: 1,207,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,540 : 804,874 = 804,874 : x
  2. Step 2: Convert to fraction form
    536,540/804,874 = 804,874/x
  3. Step 3: Cross multiply
    536,540x = 804,874 × 804,874
  4. Step 4: Simplify right side
    536,540x = 647,822,155,876
  5. Step 5: Solve for x
    x = 647,822,155,876/536,540
  6. Step 6: Final answer
    x = 1,207,407.01

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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.