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Finding the Third Proportional to 277,929 and 606,042

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Solution

The third proportional to 277,929 and 606,042 is: 1,321,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,929 : 606,042 = 606,042 : x
  2. Step 2: Convert to fraction form
    277,929/606,042 = 606,042/x
  3. Step 3: Cross multiply
    277,929x = 606,042 × 606,042
  4. Step 4: Simplify right side
    277,929x = 367,286,905,764
  5. Step 5: Solve for x
    x = 367,286,905,764/277,929
  6. Step 6: Final answer
    x = 1,321,513.43

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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.