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Finding the Third Proportional to 315,500.25 and 684,233.25

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Solution

The third proportional to 315,500.25 and 684,233.25 is: 1,483,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,500.25 : 684,233.25 = 684,233.25 : x
  2. Step 2: Convert to fraction form
    315,500.25/684,233.25 = 684,233.25/x
  3. Step 3: Cross multiply
    315,500.25x = 684,233.25 × 684,233.25
  4. Step 4: Simplify right side
    315,500.25x = 468,175,140,405.56
  5. Step 5: Solve for x
    x = 468,175,140,405.56/315,500.25
  6. Step 6: Final answer
    x = 1,483,913.69

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Why These Related Problems?

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