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Finding the Third Proportional to 274,844.63 and 420,440.63

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Solution

The third proportional to 274,844.63 and 420,440.63 is: 643,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,844.63 : 420,440.63 = 420,440.63 : x
  2. Step 2: Convert to fraction form
    274,844.63/420,440.63 = 420,440.63/x
  3. Step 3: Cross multiply
    274,844.63x = 420,440.63 × 420,440.63
  4. Step 4: Simplify right side
    274,844.63x = 176,770,319,150.39
  5. Step 5: Solve for x
    x = 176,770,319,150.39/274,844.63
  6. Step 6: Final answer
    x = 643,164.55

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