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Finding the Third Proportional to 207,784.50 and 448,788

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Solution

The third proportional to 207,784.50 and 448,788 is: 969,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,784.50 : 448,788 = 448,788 : x
  2. Step 2: Convert to fraction form
    207,784.50/448,788 = 448,788/x
  3. Step 3: Cross multiply
    207,784.50x = 448,788 × 448,788
  4. Step 4: Simplify right side
    207,784.50x = 201,410,668,944
  5. Step 5: Solve for x
    x = 201,410,668,944/207,784.50
  6. Step 6: Final answer
    x = 969,324.80

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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.