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Finding the Third Proportional to 263,419.50 and 566,791.50

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Solution

The third proportional to 263,419.50 and 566,791.50 is: 1,219,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,419.50 : 566,791.50 = 566,791.50 : x
  2. Step 2: Convert to fraction form
    263,419.50/566,791.50 = 566,791.50/x
  3. Step 3: Cross multiply
    263,419.50x = 566,791.50 × 566,791.50
  4. Step 4: Simplify right side
    263,419.50x = 321,252,604,472.25
  5. Step 5: Solve for x
    x = 321,252,604,472.25/263,419.50
  6. Step 6: Final answer
    x = 1,219,547.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.