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Finding the Third Proportional to 343,529.86 and 451,740.80

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Solution

The third proportional to 343,529.86 and 451,740.80 is: 594,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,529.86 : 451,740.80 = 451,740.80 : x
  2. Step 2: Convert to fraction form
    343,529.86/451,740.80 = 451,740.80/x
  3. Step 3: Cross multiply
    343,529.86x = 451,740.80 × 451,740.80
  4. Step 4: Simplify right side
    343,529.86x = 204,069,747,561.26
  5. Step 5: Solve for x
    x = 204,069,747,561.26/343,529.86
  6. Step 6: Final answer
    x = 594,037.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.