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Finding the Third Proportional to 263,934 and 575,500

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Solution

The third proportional to 263,934 and 575,500 is: 1,254,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,934 : 575,500 = 575,500 : x
  2. Step 2: Convert to fraction form
    263,934/575,500 = 575,500/x
  3. Step 3: Cross multiply
    263,934x = 575,500 × 575,500
  4. Step 4: Simplify right side
    263,934x = 331,200,250,000
  5. Step 5: Solve for x
    x = 331,200,250,000/263,934
  6. Step 6: Final answer
    x = 1,254,860.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.