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Finding the Third Proportional to 303,415.50 and 437,059.50

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Solution

The third proportional to 303,415.50 and 437,059.50 is: 629,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,415.50 : 437,059.50 = 437,059.50 : x
  2. Step 2: Convert to fraction form
    303,415.50/437,059.50 = 437,059.50/x
  3. Step 3: Cross multiply
    303,415.50x = 437,059.50 × 437,059.50
  4. Step 4: Simplify right side
    303,415.50x = 191,021,006,540.25
  5. Step 5: Solve for x
    x = 191,021,006,540.25/303,415.50
  6. Step 6: Final answer
    x = 629,569.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.