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Finding the Third Proportional to 269,759.25 and 590,913

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Solution

The third proportional to 269,759.25 and 590,913 is: 1,294,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,759.25 : 590,913 = 590,913 : x
  2. Step 2: Convert to fraction form
    269,759.25/590,913 = 590,913/x
  3. Step 3: Cross multiply
    269,759.25x = 590,913 × 590,913
  4. Step 4: Simplify right side
    269,759.25x = 349,178,173,569
  5. Step 5: Solve for x
    x = 349,178,173,569/269,759.25
  6. Step 6: Final answer
    x = 1,294,406.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.