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Finding the Third Proportional to 340,761.94 and 534,600

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Solution

The third proportional to 340,761.94 and 534,600 is: 838,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,761.94 : 534,600 = 534,600 : x
  2. Step 2: Convert to fraction form
    340,761.94/534,600 = 534,600/x
  3. Step 3: Cross multiply
    340,761.94x = 534,600 × 534,600
  4. Step 4: Simplify right side
    340,761.94x = 285,797,160,000
  5. Step 5: Solve for x
    x = 285,797,160,000/340,761.94
  6. Step 6: Final answer
    x = 838,700.36

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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.