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Finding the Third Proportional to 264,579.75 and 397,465.73

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Solution

The third proportional to 264,579.75 and 397,465.73 is: 597,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,579.75 : 397,465.73 = 397,465.73 : x
  2. Step 2: Convert to fraction form
    264,579.75/397,465.73 = 397,465.73/x
  3. Step 3: Cross multiply
    264,579.75x = 397,465.73 × 397,465.73
  4. Step 4: Simplify right side
    264,579.75x = 157,979,010,002.26
  5. Step 5: Solve for x
    x = 157,979,010,002.26/264,579.75
  6. Step 6: Final answer
    x = 597,094.11

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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.