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Finding the Third Proportional to 269,515.50 and 593,715

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Solution

The third proportional to 269,515.50 and 593,715 is: 1,307,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,515.50 : 593,715 = 593,715 : x
  2. Step 2: Convert to fraction form
    269,515.50/593,715 = 593,715/x
  3. Step 3: Cross multiply
    269,515.50x = 593,715 × 593,715
  4. Step 4: Simplify right side
    269,515.50x = 352,497,501,225
  5. Step 5: Solve for x
    x = 352,497,501,225/269,515.50
  6. Step 6: Final answer
    x = 1,307,893.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.