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Finding the Third Proportional to 534,911.34 and 783,163.69

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Solution

The third proportional to 534,911.34 and 783,163.69 is: 1,146,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,911.34 : 783,163.69 = 783,163.69 : x
  2. Step 2: Convert to fraction form
    534,911.34/783,163.69 = 783,163.69/x
  3. Step 3: Cross multiply
    534,911.34x = 783,163.69 × 783,163.69
  4. Step 4: Simplify right side
    534,911.34x = 613,345,361,418.60
  5. Step 5: Solve for x
    x = 613,345,361,418.60/534,911.34
  6. Step 6: Final answer
    x = 1,146,629.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.