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Finding the Third Proportional to 264,564.75 and 397,450.13

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Solution

The third proportional to 264,564.75 and 397,450.13 is: 597,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564.75 : 397,450.13 = 397,450.13 : x
  2. Step 2: Convert to fraction form
    264,564.75/397,450.13 = 397,450.13/x
  3. Step 3: Cross multiply
    264,564.75x = 397,450.13 × 397,450.13
  4. Step 4: Simplify right side
    264,564.75x = 157,966,601,862.52
  5. Step 5: Solve for x
    x = 157,966,601,862.52/264,564.75
  6. Step 6: Final answer
    x = 597,081.06

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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.