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Finding the Third Proportional to 343,956 and 521,127

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Solution

The third proportional to 343,956 and 521,127 is: 789,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,956 : 521,127 = 521,127 : x
  2. Step 2: Convert to fraction form
    343,956/521,127 = 521,127/x
  3. Step 3: Cross multiply
    343,956x = 521,127 × 521,127
  4. Step 4: Simplify right side
    343,956x = 271,573,350,129
  5. Step 5: Solve for x
    x = 271,573,350,129/343,956
  6. Step 6: Final answer
    x = 789,558.40

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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.