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Finding the Third Proportional to 207,829.50 and 448,089

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Solution

The third proportional to 207,829.50 and 448,089 is: 966,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829.50 : 448,089 = 448,089 : x
  2. Step 2: Convert to fraction form
    207,829.50/448,089 = 448,089/x
  3. Step 3: Cross multiply
    207,829.50x = 448,089 × 448,089
  4. Step 4: Simplify right side
    207,829.50x = 200,783,751,921
  5. Step 5: Solve for x
    x = 200,783,751,921/207,829.50
  6. Step 6: Final answer
    x = 966,098.42

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