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Finding the Third Proportional to 201,629.25 and 442,563.75

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Solution

The third proportional to 201,629.25 and 442,563.75 is: 971,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.25 : 442,563.75 = 442,563.75 : x
  2. Step 2: Convert to fraction form
    201,629.25/442,563.75 = 442,563.75/x
  3. Step 3: Cross multiply
    201,629.25x = 442,563.75 × 442,563.75
  4. Step 4: Simplify right side
    201,629.25x = 195,862,672,814.06
  5. Step 5: Solve for x
    x = 195,862,672,814.06/201,629.25
  6. Step 6: Final answer
    x = 971,400.10

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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.