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Finding the Third Proportional to 527,810 and 796,227

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Solution

The third proportional to 527,810 and 796,227 is: 1,201,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,810 : 796,227 = 796,227 : x
  2. Step 2: Convert to fraction form
    527,810/796,227 = 796,227/x
  3. Step 3: Cross multiply
    527,810x = 796,227 × 796,227
  4. Step 4: Simplify right side
    527,810x = 633,977,435,529
  5. Step 5: Solve for x
    x = 633,977,435,529/527,810
  6. Step 6: Final answer
    x = 1,201,147.07

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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.