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Finding the Third Proportional to 366,850 and 526,923

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Solution

The third proportional to 366,850 and 526,923 is: 756,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,850 : 526,923 = 526,923 : x
  2. Step 2: Convert to fraction form
    366,850/526,923 = 526,923/x
  3. Step 3: Cross multiply
    366,850x = 526,923 × 526,923
  4. Step 4: Simplify right side
    366,850x = 277,647,847,929
  5. Step 5: Solve for x
    x = 277,647,847,929/366,850
  6. Step 6: Final answer
    x = 756,842.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.