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Finding the Third Proportional to 230,790.50 and 479,927

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Solution

The third proportional to 230,790.50 and 479,927 is: 998,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,790.50 : 479,927 = 479,927 : x
  2. Step 2: Convert to fraction form
    230,790.50/479,927 = 479,927/x
  3. Step 3: Cross multiply
    230,790.50x = 479,927 × 479,927
  4. Step 4: Simplify right side
    230,790.50x = 230,329,925,329
  5. Step 5: Solve for x
    x = 230,329,925,329/230,790.50
  6. Step 6: Final answer
    x = 998,004.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.