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Finding the Third Proportional to 297,816 and 648,108

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Solution

The third proportional to 297,816 and 648,108 is: 1,410,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816 : 648,108 = 648,108 : x
  2. Step 2: Convert to fraction form
    297,816/648,108 = 648,108/x
  3. Step 3: Cross multiply
    297,816x = 648,108 × 648,108
  4. Step 4: Simplify right side
    297,816x = 420,043,979,664
  5. Step 5: Solve for x
    x = 420,043,979,664/297,816
  6. Step 6: Final answer
    x = 1,410,414.42

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Why These Related Problems?

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