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Finding the Third Proportional to 298,027.50 and 638,667.75

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Solution

The third proportional to 298,027.50 and 638,667.75 is: 1,368,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,027.50 : 638,667.75 = 638,667.75 : x
  2. Step 2: Convert to fraction form
    298,027.50/638,667.75 = 638,667.75/x
  3. Step 3: Cross multiply
    298,027.50x = 638,667.75 × 638,667.75
  4. Step 4: Simplify right side
    298,027.50x = 407,896,494,890.06
  5. Step 5: Solve for x
    x = 407,896,494,890.06/298,027.50
  6. Step 6: Final answer
    x = 1,368,653.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.