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Finding the Third Proportional to 344,156 and 521,414

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Solution

The third proportional to 344,156 and 521,414 is: 789,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,156 : 521,414 = 521,414 : x
  2. Step 2: Convert to fraction form
    344,156/521,414 = 521,414/x
  3. Step 3: Cross multiply
    344,156x = 521,414 × 521,414
  4. Step 4: Simplify right side
    344,156x = 271,872,559,396
  5. Step 5: Solve for x
    x = 271,872,559,396/344,156
  6. Step 6: Final answer
    x = 789,968.97

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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.