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Finding the Third Proportional to 296,475.19 and 649,356.75

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Solution

The third proportional to 296,475.19 and 649,356.75 is: 1,422,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.19 : 649,356.75 = 649,356.75 : x
  2. Step 2: Convert to fraction form
    296,475.19/649,356.75 = 649,356.75/x
  3. Step 3: Cross multiply
    296,475.19x = 649,356.75 × 649,356.75
  4. Step 4: Simplify right side
    296,475.19x = 421,664,188,770.56
  5. Step 5: Solve for x
    x = 421,664,188,770.56/296,475.19
  6. Step 6: Final answer
    x = 1,422,257.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.