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Finding the Third Proportional to 344,152 and 521,408

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Solution

The third proportional to 344,152 and 521,408 is: 789,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,152 : 521,408 = 521,408 : x
  2. Step 2: Convert to fraction form
    344,152/521,408 = 521,408/x
  3. Step 3: Cross multiply
    344,152x = 521,408 × 521,408
  4. Step 4: Simplify right side
    344,152x = 271,866,302,464
  5. Step 5: Solve for x
    x = 271,866,302,464/344,152
  6. Step 6: Final answer
    x = 789,959.97

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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.