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Finding the Third Proportional to 340,761.52 and 534,600.84

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Solution

The third proportional to 340,761.52 and 534,600.84 is: 838,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,761.52 : 534,600.84 = 534,600.84 : x
  2. Step 2: Convert to fraction form
    340,761.52/534,600.84 = 534,600.84/x
  3. Step 3: Cross multiply
    340,761.52x = 534,600.84 × 534,600.84
  4. Step 4: Simplify right side
    340,761.52x = 285,798,062,138.21
  5. Step 5: Solve for x
    x = 285,798,062,138.21/340,761.52
  6. Step 6: Final answer
    x = 838,704.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.