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Finding the Third Proportional to 527,200 and 816,936

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Solution

The third proportional to 527,200 and 816,936 is: 1,265,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,200 : 816,936 = 816,936 : x
  2. Step 2: Convert to fraction form
    527,200/816,936 = 816,936/x
  3. Step 3: Cross multiply
    527,200x = 816,936 × 816,936
  4. Step 4: Simplify right side
    527,200x = 667,384,428,096
  5. Step 5: Solve for x
    x = 667,384,428,096/527,200
  6. Step 6: Final answer
    x = 1,265,903.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.