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Finding the Third Proportional to 366,204 and 802,228.50

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Solution

The third proportional to 366,204 and 802,228.50 is: 1,757,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,204 : 802,228.50 = 802,228.50 : x
  2. Step 2: Convert to fraction form
    366,204/802,228.50 = 802,228.50/x
  3. Step 3: Cross multiply
    366,204x = 802,228.50 × 802,228.50
  4. Step 4: Simplify right side
    366,204x = 643,570,566,212.25
  5. Step 5: Solve for x
    x = 643,570,566,212.25/366,204
  6. Step 6: Final answer
    x = 1,757,409.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.