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Finding the Third Proportional to 275,305 and 609,568

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Solution

The third proportional to 275,305 and 609,568 is: 1,349,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,305 : 609,568 = 609,568 : x
  2. Step 2: Convert to fraction form
    275,305/609,568 = 609,568/x
  3. Step 3: Cross multiply
    275,305x = 609,568 × 609,568
  4. Step 4: Simplify right side
    275,305x = 371,573,146,624
  5. Step 5: Solve for x
    x = 371,573,146,624/275,305
  6. Step 6: Final answer
    x = 1,349,678.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.