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Finding the Third Proportional to 343,954 and 521,124

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Solution

The third proportional to 343,954 and 521,124 is: 789,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,954 : 521,124 = 521,124 : x
  2. Step 2: Convert to fraction form
    343,954/521,124 = 521,124/x
  3. Step 3: Cross multiply
    343,954x = 521,124 × 521,124
  4. Step 4: Simplify right side
    343,954x = 271,570,223,376
  5. Step 5: Solve for x
    x = 271,570,223,376/343,954
  6. Step 6: Final answer
    x = 789,553.90

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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.