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Finding the Third Proportional to 297,756 and 647,995.50

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Solution

The third proportional to 297,756 and 647,995.50 is: 1,410,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,756 : 647,995.50 = 647,995.50 : x
  2. Step 2: Convert to fraction form
    297,756/647,995.50 = 647,995.50/x
  3. Step 3: Cross multiply
    297,756x = 647,995.50 × 647,995.50
  4. Step 4: Simplify right side
    297,756x = 419,898,168,020.25
  5. Step 5: Solve for x
    x = 419,898,168,020.25/297,756
  6. Step 6: Final answer
    x = 1,410,208.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.