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Finding the Third Proportional to 207,687.75 and 453,814.50

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Solution

The third proportional to 207,687.75 and 453,814.50 is: 991,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,687.75 : 453,814.50 = 453,814.50 : x
  2. Step 2: Convert to fraction form
    207,687.75/453,814.50 = 453,814.50/x
  3. Step 3: Cross multiply
    207,687.75x = 453,814.50 × 453,814.50
  4. Step 4: Simplify right side
    207,687.75x = 205,947,600,410.25
  5. Step 5: Solve for x
    x = 205,947,600,410.25/207,687.75
  6. Step 6: Final answer
    x = 991,621.32

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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.