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Finding the Third Proportional to 329,525 and 719,193

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Solution

The third proportional to 329,525 and 719,193 is: 1,569,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,525 : 719,193 = 719,193 : x
  2. Step 2: Convert to fraction form
    329,525/719,193 = 719,193/x
  3. Step 3: Cross multiply
    329,525x = 719,193 × 719,193
  4. Step 4: Simplify right side
    329,525x = 517,238,571,249
  5. Step 5: Solve for x
    x = 517,238,571,249/329,525
  6. Step 6: Final answer
    x = 1,569,648.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.