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Finding the Third Proportional to 269,428.50 and 422,650.50

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Solution

The third proportional to 269,428.50 and 422,650.50 is: 663,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,428.50 : 422,650.50 = 422,650.50 : x
  2. Step 2: Convert to fraction form
    269,428.50/422,650.50 = 422,650.50/x
  3. Step 3: Cross multiply
    269,428.50x = 422,650.50 × 422,650.50
  4. Step 4: Simplify right side
    269,428.50x = 178,633,445,150.25
  5. Step 5: Solve for x
    x = 178,633,445,150.25/269,428.50
  6. Step 6: Final answer
    x = 663,008.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.