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Finding the Third Proportional to 323,517 and 702,923

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Solution

The third proportional to 323,517 and 702,923 is: 1,527,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,517 : 702,923 = 702,923 : x
  2. Step 2: Convert to fraction form
    323,517/702,923 = 702,923/x
  3. Step 3: Cross multiply
    323,517x = 702,923 × 702,923
  4. Step 4: Simplify right side
    323,517x = 494,100,743,929
  5. Step 5: Solve for x
    x = 494,100,743,929/323,517
  6. Step 6: Final answer
    x = 1,527,279.07

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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.