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Finding the Third Proportional to 343,970 and 521,149

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Solution

The third proportional to 343,970 and 521,149 is: 789,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,970 : 521,149 = 521,149 : x
  2. Step 2: Convert to fraction form
    343,970/521,149 = 521,149/x
  3. Step 3: Cross multiply
    343,970x = 521,149 × 521,149
  4. Step 4: Simplify right side
    343,970x = 271,596,280,201
  5. Step 5: Solve for x
    x = 271,596,280,201/343,970
  6. Step 6: Final answer
    x = 789,592.93

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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.