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Finding the Third Proportional to 277,998 and 599,228

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Solution

The third proportional to 277,998 and 599,228 is: 1,291,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,998 : 599,228 = 599,228 : x
  2. Step 2: Convert to fraction form
    277,998/599,228 = 599,228/x
  3. Step 3: Cross multiply
    277,998x = 599,228 × 599,228
  4. Step 4: Simplify right side
    277,998x = 359,074,195,984
  5. Step 5: Solve for x
    x = 359,074,195,984/277,998
  6. Step 6: Final answer
    x = 1,291,643.09

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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.