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Finding the Third Proportional to 264,429.56 and 397,229.06

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Solution

The third proportional to 264,429.56 and 397,229.06 is: 596,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,429.56 : 397,229.06 = 397,229.06 : x
  2. Step 2: Convert to fraction form
    264,429.56/397,229.06 = 397,229.06/x
  3. Step 3: Cross multiply
    264,429.56x = 397,229.06 × 397,229.06
  4. Step 4: Simplify right side
    264,429.56x = 157,790,928,094.63
  5. Step 5: Solve for x
    x = 157,790,928,094.63/264,429.56
  6. Step 6: Final answer
    x = 596,721.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.