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Finding the Third Proportional to 204,523.50 and 477,681.75

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Solution

The third proportional to 204,523.50 and 477,681.75 is: 1,115,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,523.50 : 477,681.75 = 477,681.75 : x
  2. Step 2: Convert to fraction form
    204,523.50/477,681.75 = 477,681.75/x
  3. Step 3: Cross multiply
    204,523.50x = 477,681.75 × 477,681.75
  4. Step 4: Simplify right side
    204,523.50x = 228,179,854,283.06
  5. Step 5: Solve for x
    x = 228,179,854,283.06/204,523.50
  6. Step 6: Final answer
    x = 1,115,665.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.