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Finding the Third Proportional to 531,774 and 798,049

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Solution

The third proportional to 531,774 and 798,049 is: 1,197,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,774 : 798,049 = 798,049 : x
  2. Step 2: Convert to fraction form
    531,774/798,049 = 798,049/x
  3. Step 3: Cross multiply
    531,774x = 798,049 × 798,049
  4. Step 4: Simplify right side
    531,774x = 636,882,206,401
  5. Step 5: Solve for x
    x = 636,882,206,401/531,774
  6. Step 6: Final answer
    x = 1,197,655.78

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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.