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Finding the Third Proportional to 305,680.13 and 719,252.44

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Solution

The third proportional to 305,680.13 and 719,252.44 is: 1,692,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680.13 : 719,252.44 = 719,252.44 : x
  2. Step 2: Convert to fraction form
    305,680.13/719,252.44 = 719,252.44/x
  3. Step 3: Cross multiply
    305,680.13x = 719,252.44 × 719,252.44
  4. Step 4: Simplify right side
    305,680.13x = 517,324,068,849.69
  5. Step 5: Solve for x
    x = 517,324,068,849.69/305,680.13
  6. Step 6: Final answer
    x = 1,692,370.64

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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.