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Finding the Third Proportional to 378,958.50 and 822,231

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Solution

The third proportional to 378,958.50 and 822,231 is: 1,784,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,958.50 : 822,231 = 822,231 : x
  2. Step 2: Convert to fraction form
    378,958.50/822,231 = 822,231/x
  3. Step 3: Cross multiply
    378,958.50x = 822,231 × 822,231
  4. Step 4: Simplify right side
    378,958.50x = 676,063,817,361
  5. Step 5: Solve for x
    x = 676,063,817,361/378,958.50
  6. Step 6: Final answer
    x = 1,784,004.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.