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Finding the Third Proportional to 315,504 and 684,240.75

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Solution

The third proportional to 315,504 and 684,240.75 is: 1,483,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,504 : 684,240.75 = 684,240.75 : x
  2. Step 2: Convert to fraction form
    315,504/684,240.75 = 684,240.75/x
  3. Step 3: Cross multiply
    315,504x = 684,240.75 × 684,240.75
  4. Step 4: Simplify right side
    315,504x = 468,185,403,960.56
  5. Step 5: Solve for x
    x = 468,185,403,960.56/315,504
  6. Step 6: Final answer
    x = 1,483,928.58

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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.