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Finding the Third Proportional to 343,984 and 521,168

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Solution

The third proportional to 343,984 and 521,168 is: 789,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,984 : 521,168 = 521,168 : x
  2. Step 2: Convert to fraction form
    343,984/521,168 = 521,168/x
  3. Step 3: Cross multiply
    343,984x = 521,168 × 521,168
  4. Step 4: Simplify right side
    343,984x = 271,616,084,224
  5. Step 5: Solve for x
    x = 271,616,084,224/343,984
  6. Step 6: Final answer
    x = 789,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.