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Finding the Third Proportional to 277,181 and 598,678

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Solution

The third proportional to 277,181 and 598,678 is: 1,293,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,181 : 598,678 = 598,678 : x
  2. Step 2: Convert to fraction form
    277,181/598,678 = 598,678/x
  3. Step 3: Cross multiply
    277,181x = 598,678 × 598,678
  4. Step 4: Simplify right side
    277,181x = 358,415,347,684
  5. Step 5: Solve for x
    x = 358,415,347,684/277,181
  6. Step 6: Final answer
    x = 1,293,073.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.