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Finding the Third Proportional to 264,451.50 and 397,254.38

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Solution

The third proportional to 264,451.50 and 397,254.38 is: 596,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,451.50 : 397,254.38 = 397,254.38 : x
  2. Step 2: Convert to fraction form
    264,451.50/397,254.38 = 397,254.38/x
  3. Step 3: Cross multiply
    264,451.50x = 397,254.38 × 397,254.38
  4. Step 4: Simplify right side
    264,451.50x = 157,811,038,456.64
  5. Step 5: Solve for x
    x = 157,811,038,456.64/264,451.50
  6. Step 6: Final answer
    x = 596,748.51

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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.