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Finding the Third Proportional to 282,569 and 396,025

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Solution

The third proportional to 282,569 and 396,025 is: 555,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,569 : 396,025 = 396,025 : x
  2. Step 2: Convert to fraction form
    282,569/396,025 = 396,025/x
  3. Step 3: Cross multiply
    282,569x = 396,025 × 396,025
  4. Step 4: Simplify right side
    282,569x = 156,835,800,625
  5. Step 5: Solve for x
    x = 156,835,800,625/282,569
  6. Step 6: Final answer
    x = 555,035.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.