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Finding the Third Proportional to 280,198 and 608,025

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Solution

The third proportional to 280,198 and 608,025 is: 1,319,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198 : 608,025 = 608,025 : x
  2. Step 2: Convert to fraction form
    280,198/608,025 = 608,025/x
  3. Step 3: Cross multiply
    280,198x = 608,025 × 608,025
  4. Step 4: Simplify right side
    280,198x = 369,694,400,625
  5. Step 5: Solve for x
    x = 369,694,400,625/280,198
  6. Step 6: Final answer
    x = 1,319,404.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.