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Finding the Third Proportional to 312,511.71 and 681,812.02

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Solution

The third proportional to 312,511.71 and 681,812.02 is: 1,487,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,511.71 : 681,812.02 = 681,812.02 : x
  2. Step 2: Convert to fraction form
    312,511.71/681,812.02 = 681,812.02/x
  3. Step 3: Cross multiply
    312,511.71x = 681,812.02 × 681,812.02
  4. Step 4: Simplify right side
    312,511.71x = 464,867,624,650.63
  5. Step 5: Solve for x
    x = 464,867,624,650.63/312,511.71
  6. Step 6: Final answer
    x = 1,487,520.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.