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Finding the Third Proportional to 299,232 and 649,327

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Solution

The third proportional to 299,232 and 649,327 is: 1,409,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232 : 649,327 = 649,327 : x
  2. Step 2: Convert to fraction form
    299,232/649,327 = 649,327/x
  3. Step 3: Cross multiply
    299,232x = 649,327 × 649,327
  4. Step 4: Simplify right side
    299,232x = 421,625,552,929
  5. Step 5: Solve for x
    x = 421,625,552,929/299,232
  6. Step 6: Final answer
    x = 1,409,025.62

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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.