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Finding the Third Proportional to 282,285 and 603,207

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Solution

The third proportional to 282,285 and 603,207 is: 1,288,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,285 : 603,207 = 603,207 : x
  2. Step 2: Convert to fraction form
    282,285/603,207 = 603,207/x
  3. Step 3: Cross multiply
    282,285x = 603,207 × 603,207
  4. Step 4: Simplify right side
    282,285x = 363,858,684,849
  5. Step 5: Solve for x
    x = 363,858,684,849/282,285
  6. Step 6: Final answer
    x = 1,288,976.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.