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Finding the Third Proportional to 297,844 and 648,224

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Solution

The third proportional to 297,844 and 648,224 is: 1,410,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,844 : 648,224 = 648,224 : x
  2. Step 2: Convert to fraction form
    297,844/648,224 = 648,224/x
  3. Step 3: Cross multiply
    297,844x = 648,224 × 648,224
  4. Step 4: Simplify right side
    297,844x = 420,194,354,176
  5. Step 5: Solve for x
    x = 420,194,354,176/297,844
  6. Step 6: Final answer
    x = 1,410,786.70

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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.