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Finding the Third Proportional to 274,845 and 420,441.75

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Solution

The third proportional to 274,845 and 420,441.75 is: 643,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,845 : 420,441.75 = 420,441.75 : x
  2. Step 2: Convert to fraction form
    274,845/420,441.75 = 420,441.75/x
  3. Step 3: Cross multiply
    274,845x = 420,441.75 × 420,441.75
  4. Step 4: Simplify right side
    274,845x = 176,771,265,143.06
  5. Step 5: Solve for x
    x = 176,771,265,143.06/274,845
  6. Step 6: Final answer
    x = 643,167.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.