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Finding the Third Proportional to 340,770.38 and 534,613.50

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Solution

The third proportional to 340,770.38 and 534,613.50 is: 838,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,770.38 : 534,613.50 = 534,613.50 : x
  2. Step 2: Convert to fraction form
    340,770.38/534,613.50 = 534,613.50/x
  3. Step 3: Cross multiply
    340,770.38x = 534,613.50 × 534,613.50
  4. Step 4: Simplify right side
    340,770.38x = 285,811,594,382.25
  5. Step 5: Solve for x
    x = 285,811,594,382.25/340,770.38
  6. Step 6: Final answer
    x = 838,721.95

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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.