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Finding the Third Proportional to 277,802 and 590,500

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Solution

The third proportional to 277,802 and 590,500 is: 1,255,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,802 : 590,500 = 590,500 : x
  2. Step 2: Convert to fraction form
    277,802/590,500 = 590,500/x
  3. Step 3: Cross multiply
    277,802x = 590,500 × 590,500
  4. Step 4: Simplify right side
    277,802x = 348,690,250,000
  5. Step 5: Solve for x
    x = 348,690,250,000/277,802
  6. Step 6: Final answer
    x = 1,255,175.45

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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.