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Finding the Third Proportional to 526,550 and 816,809

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Solution

The third proportional to 526,550 and 816,809 is: 1,267,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,550 : 816,809 = 816,809 : x
  2. Step 2: Convert to fraction form
    526,550/816,809 = 816,809/x
  3. Step 3: Cross multiply
    526,550x = 816,809 × 816,809
  4. Step 4: Simplify right side
    526,550x = 667,176,942,481
  5. Step 5: Solve for x
    x = 667,176,942,481/526,550
  6. Step 6: Final answer
    x = 1,267,072.34

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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.