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Finding the Third Proportional to 455,487.75 and 967,016.25

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Solution

The third proportional to 455,487.75 and 967,016.25 is: 2,053,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,487.75 : 967,016.25 = 967,016.25 : x
  2. Step 2: Convert to fraction form
    455,487.75/967,016.25 = 967,016.25/x
  3. Step 3: Cross multiply
    455,487.75x = 967,016.25 × 967,016.25
  4. Step 4: Simplify right side
    455,487.75x = 935,120,427,764.06
  5. Step 5: Solve for x
    x = 935,120,427,764.06/455,487.75
  6. Step 6: Final answer
    x = 2,053,008.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.