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Finding the Third Proportional to 366,873 and 857,584.50

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Solution

The third proportional to 366,873 and 857,584.50 is: 2,004,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,873 : 857,584.50 = 857,584.50 : x
  2. Step 2: Convert to fraction form
    366,873/857,584.50 = 857,584.50/x
  3. Step 3: Cross multiply
    366,873x = 857,584.50 × 857,584.50
  4. Step 4: Simplify right side
    366,873x = 735,451,174,640.25
  5. Step 5: Solve for x
    x = 735,451,174,640.25/366,873
  6. Step 6: Final answer
    x = 2,004,647.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.