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Finding the Third Proportional to 305,857 and 719,615.50

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Solution

The third proportional to 305,857 and 719,615.50 is: 1,693,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,857 : 719,615.50 = 719,615.50 : x
  2. Step 2: Convert to fraction form
    305,857/719,615.50 = 719,615.50/x
  3. Step 3: Cross multiply
    305,857x = 719,615.50 × 719,615.50
  4. Step 4: Simplify right side
    305,857x = 517,846,467,840.25
  5. Step 5: Solve for x
    x = 517,846,467,840.25/305,857
  6. Step 6: Final answer
    x = 1,693,099.94

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.