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Finding the Third Proportional to 526,544 and 816,800

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Solution

The third proportional to 526,544 and 816,800 is: 1,267,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,544 : 816,800 = 816,800 : x
  2. Step 2: Convert to fraction form
    526,544/816,800 = 816,800/x
  3. Step 3: Cross multiply
    526,544x = 816,800 × 816,800
  4. Step 4: Simplify right side
    526,544x = 667,162,240,000
  5. Step 5: Solve for x
    x = 667,162,240,000/526,544
  6. Step 6: Final answer
    x = 1,267,058.86

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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.