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Finding the Third Proportional to 340,726.50 and 534,573.42

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Solution

The third proportional to 340,726.50 and 534,573.42 is: 838,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,726.50 : 534,573.42 = 534,573.42 : x
  2. Step 2: Convert to fraction form
    340,726.50/534,573.42 = 534,573.42/x
  3. Step 3: Cross multiply
    340,726.50x = 534,573.42 × 534,573.42
  4. Step 4: Simplify right side
    340,726.50x = 285,768,743,375.15
  5. Step 5: Solve for x
    x = 285,768,743,375.15/340,726.50
  6. Step 6: Final answer
    x = 838,704.19

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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.