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Finding the Third Proportional to 293,455 and 609,869

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Solution

The third proportional to 293,455 and 609,869 is: 1,267,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,455 : 609,869 = 609,869 : x
  2. Step 2: Convert to fraction form
    293,455/609,869 = 609,869/x
  3. Step 3: Cross multiply
    293,455x = 609,869 × 609,869
  4. Step 4: Simplify right side
    293,455x = 371,940,197,161
  5. Step 5: Solve for x
    x = 371,940,197,161/293,455
  6. Step 6: Final answer
    x = 1,267,452.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.