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Finding the Third Proportional to 301,138 and 594,660

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Solution

The third proportional to 301,138 and 594,660 is: 1,174,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,138 : 594,660 = 594,660 : x
  2. Step 2: Convert to fraction form
    301,138/594,660 = 594,660/x
  3. Step 3: Cross multiply
    301,138x = 594,660 × 594,660
  4. Step 4: Simplify right side
    301,138x = 353,620,515,600
  5. Step 5: Solve for x
    x = 353,620,515,600/301,138
  6. Step 6: Final answer
    x = 1,174,280.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.