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Finding the Third Proportional to 277,800 and 590,496

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Solution

The third proportional to 277,800 and 590,496 is: 1,255,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800 : 590,496 = 590,496 : x
  2. Step 2: Convert to fraction form
    277,800/590,496 = 590,496/x
  3. Step 3: Cross multiply
    277,800x = 590,496 × 590,496
  4. Step 4: Simplify right side
    277,800x = 348,685,526,016
  5. Step 5: Solve for x
    x = 348,685,526,016/277,800
  6. Step 6: Final answer
    x = 1,255,167.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.