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Finding the Third Proportional to 315,503 and 684,238

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Solution

The third proportional to 315,503 and 684,238 is: 1,483,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,503 : 684,238 = 684,238 : x
  2. Step 2: Convert to fraction form
    315,503/684,238 = 684,238/x
  3. Step 3: Cross multiply
    315,503x = 684,238 × 684,238
  4. Step 4: Simplify right side
    315,503x = 468,181,640,644
  5. Step 5: Solve for x
    x = 468,181,640,644/315,503
  6. Step 6: Final answer
    x = 1,483,921.36

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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.