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Finding the Third Proportional to 275,567 and 601,678

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Solution

The third proportional to 275,567 and 601,678 is: 1,313,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,567 : 601,678 = 601,678 : x
  2. Step 2: Convert to fraction form
    275,567/601,678 = 601,678/x
  3. Step 3: Cross multiply
    275,567x = 601,678 × 601,678
  4. Step 4: Simplify right side
    275,567x = 362,016,415,684
  5. Step 5: Solve for x
    x = 362,016,415,684/275,567
  6. Step 6: Final answer
    x = 1,313,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.