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Finding the Third Proportional to 264,524.06 and 378,120.66

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Solution

The third proportional to 264,524.06 and 378,120.66 is: 540,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,524.06 : 378,120.66 = 378,120.66 : x
  2. Step 2: Convert to fraction form
    264,524.06/378,120.66 = 378,120.66/x
  3. Step 3: Cross multiply
    264,524.06x = 378,120.66 × 378,120.66
  4. Step 4: Simplify right side
    264,524.06x = 142,975,230,682.93
  5. Step 5: Solve for x
    x = 142,975,230,682.93/264,524.06
  6. Step 6: Final answer
    x = 540,499.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.