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Finding the Third Proportional to 297,878 and 648,172

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Solution

The third proportional to 297,878 and 648,172 is: 1,410,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,878 : 648,172 = 648,172 : x
  2. Step 2: Convert to fraction form
    297,878/648,172 = 648,172/x
  3. Step 3: Cross multiply
    297,878x = 648,172 × 648,172
  4. Step 4: Simplify right side
    297,878x = 420,126,941,584
  5. Step 5: Solve for x
    x = 420,126,941,584/297,878
  6. Step 6: Final answer
    x = 1,410,399.36

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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.