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Finding the Third Proportional to 315,545.63 and 684,591.75

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Solution

The third proportional to 315,545.63 and 684,591.75 is: 1,485,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,545.63 : 684,591.75 = 684,591.75 : x
  2. Step 2: Convert to fraction form
    315,545.63/684,591.75 = 684,591.75/x
  3. Step 3: Cross multiply
    315,545.63x = 684,591.75 × 684,591.75
  4. Step 4: Simplify right side
    315,545.63x = 468,665,864,168.06
  5. Step 5: Solve for x
    x = 468,665,864,168.06/315,545.63
  6. Step 6: Final answer
    x = 1,485,255.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.