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Finding the Third Proportional to 527,812 and 796,230

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Solution

The third proportional to 527,812 and 796,230 is: 1,201,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,812 : 796,230 = 796,230 : x
  2. Step 2: Convert to fraction form
    527,812/796,230 = 796,230/x
  3. Step 3: Cross multiply
    527,812x = 796,230 × 796,230
  4. Step 4: Simplify right side
    527,812x = 633,982,212,900
  5. Step 5: Solve for x
    x = 633,982,212,900/527,812
  6. Step 6: Final answer
    x = 1,201,151.57

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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.