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Finding the Third Proportional to 305,128.50 and 638,143.50

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Solution

The third proportional to 305,128.50 and 638,143.50 is: 1,334,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,128.50 : 638,143.50 = 638,143.50 : x
  2. Step 2: Convert to fraction form
    305,128.50/638,143.50 = 638,143.50/x
  3. Step 3: Cross multiply
    305,128.50x = 638,143.50 × 638,143.50
  4. Step 4: Simplify right side
    305,128.50x = 407,227,126,592.25
  5. Step 5: Solve for x
    x = 407,227,126,592.25/305,128.50
  6. Step 6: Final answer
    x = 1,334,608.62

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.