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Finding the Third Proportional to 264,912.75 and 378,339.75

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Solution

The third proportional to 264,912.75 and 378,339.75 is: 540,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,912.75 : 378,339.75 = 378,339.75 : x
  2. Step 2: Convert to fraction form
    264,912.75/378,339.75 = 378,339.75/x
  3. Step 3: Cross multiply
    264,912.75x = 378,339.75 × 378,339.75
  4. Step 4: Simplify right side
    264,912.75x = 143,140,966,430.06
  5. Step 5: Solve for x
    x = 143,140,966,430.06/264,912.75
  6. Step 6: Final answer
    x = 540,332.49

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