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Finding the Third Proportional to 261,942.75 and 575,325

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Solution

The third proportional to 261,942.75 and 575,325 is: 1,263,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,942.75 : 575,325 = 575,325 : x
  2. Step 2: Convert to fraction form
    261,942.75/575,325 = 575,325/x
  3. Step 3: Cross multiply
    261,942.75x = 575,325 × 575,325
  4. Step 4: Simplify right side
    261,942.75x = 330,998,855,625
  5. Step 5: Solve for x
    x = 330,998,855,625/261,942.75
  6. Step 6: Final answer
    x = 1,263,630.53

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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.