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Finding the Third Proportional to 264,360.50 and 376,857.75

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Solution

The third proportional to 264,360.50 and 376,857.75 is: 537,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360.50 : 376,857.75 = 376,857.75 : x
  2. Step 2: Convert to fraction form
    264,360.50/376,857.75 = 376,857.75/x
  3. Step 3: Cross multiply
    264,360.50x = 376,857.75 × 376,857.75
  4. Step 4: Simplify right side
    264,360.50x = 142,021,763,735.06
  5. Step 5: Solve for x
    x = 142,021,763,735.06/264,360.50
  6. Step 6: Final answer
    x = 537,227.63

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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.