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Finding the Third Proportional to 207,730.83 and 453,893.63

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Solution

The third proportional to 207,730.83 and 453,893.63 is: 991,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.83 : 453,893.63 = 453,893.63 : x
  2. Step 2: Convert to fraction form
    207,730.83/453,893.63 = 453,893.63/x
  3. Step 3: Cross multiply
    207,730.83x = 453,893.63 × 453,893.63
  4. Step 4: Simplify right side
    207,730.83x = 206,019,422,815.64
  5. Step 5: Solve for x
    x = 206,019,422,815.64/207,730.83
  6. Step 6: Final answer
    x = 991,761.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.