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Finding the Third Proportional to 534,879.50 and 1,174,732.50

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Solution

The third proportional to 534,879.50 and 1,174,732.50 is: 2,580,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,879.50 : 1,174,732.50 = 1,174,732.50 : x
  2. Step 2: Convert to fraction form
    534,879.50/1,174,732.50 = 1,174,732.50/x
  3. Step 3: Cross multiply
    534,879.50x = 1,174,732.50 × 1,174,732.50
  4. Step 4: Simplify right side
    534,879.50x = 1,379,996,446,556.25
  5. Step 5: Solve for x
    x = 1,379,996,446,556.25/534,879.50
  6. Step 6: Final answer
    x = 2,580,013.72

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Why These Related Problems?

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