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Finding the Third Proportional to 207,691.50 and 446,973

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Solution

The third proportional to 207,691.50 and 446,973 is: 961,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,691.50 : 446,973 = 446,973 : x
  2. Step 2: Convert to fraction form
    207,691.50/446,973 = 446,973/x
  3. Step 3: Cross multiply
    207,691.50x = 446,973 × 446,973
  4. Step 4: Simplify right side
    207,691.50x = 199,784,862,729
  5. Step 5: Solve for x
    x = 199,784,862,729/207,691.50
  6. Step 6: Final answer
    x = 961,930.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.