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Finding the Third Proportional to 481,950 and 721,467

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Solution

The third proportional to 481,950 and 721,467 is: 1,080,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,950 : 721,467 = 721,467 : x
  2. Step 2: Convert to fraction form
    481,950/721,467 = 721,467/x
  3. Step 3: Cross multiply
    481,950x = 721,467 × 721,467
  4. Step 4: Simplify right side
    481,950x = 520,514,632,089
  5. Step 5: Solve for x
    x = 520,514,632,089/481,950
  6. Step 6: Final answer
    x = 1,080,017.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.