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Finding the Third Proportional to 344,168 and 521,432

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Solution

The third proportional to 344,168 and 521,432 is: 789,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,168 : 521,432 = 521,432 : x
  2. Step 2: Convert to fraction form
    344,168/521,432 = 521,432/x
  3. Step 3: Cross multiply
    344,168x = 521,432 × 521,432
  4. Step 4: Simplify right side
    344,168x = 271,891,330,624
  5. Step 5: Solve for x
    x = 271,891,330,624/344,168
  6. Step 6: Final answer
    x = 789,995.96

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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.