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Finding the Third Proportional to 277,934 and 606,052

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Solution

The third proportional to 277,934 and 606,052 is: 1,321,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,934 : 606,052 = 606,052 : x
  2. Step 2: Convert to fraction form
    277,934/606,052 = 606,052/x
  3. Step 3: Cross multiply
    277,934x = 606,052 × 606,052
  4. Step 4: Simplify right side
    277,934x = 367,299,026,704
  5. Step 5: Solve for x
    x = 367,299,026,704/277,934
  6. Step 6: Final answer
    x = 1,321,533.27

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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.