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Finding the Third Proportional to 321,811.50 and 694,206

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Solution

The third proportional to 321,811.50 and 694,206 is: 1,497,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,811.50 : 694,206 = 694,206 : x
  2. Step 2: Convert to fraction form
    321,811.50/694,206 = 694,206/x
  3. Step 3: Cross multiply
    321,811.50x = 694,206 × 694,206
  4. Step 4: Simplify right side
    321,811.50x = 481,921,970,436
  5. Step 5: Solve for x
    x = 481,921,970,436/321,811.50
  6. Step 6: Final answer
    x = 1,497,528.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.