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Finding the Third Proportional to 536,498 and 804,811

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Solution

The third proportional to 536,498 and 804,811 is: 1,207,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,498 : 804,811 = 804,811 : x
  2. Step 2: Convert to fraction form
    536,498/804,811 = 804,811/x
  3. Step 3: Cross multiply
    536,498x = 804,811 × 804,811
  4. Step 4: Simplify right side
    536,498x = 647,720,745,721
  5. Step 5: Solve for x
    x = 647,720,745,721/536,498
  6. Step 6: Final answer
    x = 1,207,312.51

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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.