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Finding the Third Proportional to 274,536 and 417,089

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Solution

The third proportional to 274,536 and 417,089 is: 633,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,536 : 417,089 = 417,089 : x
  2. Step 2: Convert to fraction form
    274,536/417,089 = 417,089/x
  3. Step 3: Cross multiply
    274,536x = 417,089 × 417,089
  4. Step 4: Simplify right side
    274,536x = 173,963,233,921
  5. Step 5: Solve for x
    x = 173,963,233,921/274,536
  6. Step 6: Final answer
    x = 633,662.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.