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Finding the Third Proportional to 204,768 and 446,652

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Solution

The third proportional to 204,768 and 446,652 is: 974,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 446,652 = 446,652 : x
  2. Step 2: Convert to fraction form
    204,768/446,652 = 446,652/x
  3. Step 3: Cross multiply
    204,768x = 446,652 × 446,652
  4. Step 4: Simplify right side
    204,768x = 199,498,009,104
  5. Step 5: Solve for x
    x = 199,498,009,104/204,768
  6. Step 6: Final answer
    x = 974,263.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.