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Finding the Third Proportional to 531,184 and 800,797

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Solution

The third proportional to 531,184 and 800,797 is: 1,207,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,184 : 800,797 = 800,797 : x
  2. Step 2: Convert to fraction form
    531,184/800,797 = 800,797/x
  3. Step 3: Cross multiply
    531,184x = 800,797 × 800,797
  4. Step 4: Simplify right side
    531,184x = 641,275,835,209
  5. Step 5: Solve for x
    x = 641,275,835,209/531,184
  6. Step 6: Final answer
    x = 1,207,257.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.