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Finding the Third Proportional to 413,815.50 and 892,933.88

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Solution

The third proportional to 413,815.50 and 892,933.88 is: 1,926,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,815.50 : 892,933.88 = 892,933.88 : x
  2. Step 2: Convert to fraction form
    413,815.50/892,933.88 = 892,933.88/x
  3. Step 3: Cross multiply
    413,815.50x = 892,933.88 × 892,933.88
  4. Step 4: Simplify right side
    413,815.50x = 797,330,905,122.52
  5. Step 5: Solve for x
    x = 797,330,905,122.52/413,815.50
  6. Step 6: Final answer
    x = 1,926,778.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.