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Finding the Third Proportional to 344,828 and 536,439

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Solution

The third proportional to 344,828 and 536,439 is: 834,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,828 : 536,439 = 536,439 : x
  2. Step 2: Convert to fraction form
    344,828/536,439 = 536,439/x
  3. Step 3: Cross multiply
    344,828x = 536,439 × 536,439
  4. Step 4: Simplify right side
    344,828x = 287,766,800,721
  5. Step 5: Solve for x
    x = 287,766,800,721/344,828
  6. Step 6: Final answer
    x = 834,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.