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Finding the Third Proportional to 277,042 and 597,824

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Solution

The third proportional to 277,042 and 597,824 is: 1,290,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,042 : 597,824 = 597,824 : x
  2. Step 2: Convert to fraction form
    277,042/597,824 = 597,824/x
  3. Step 3: Cross multiply
    277,042x = 597,824 × 597,824
  4. Step 4: Simplify right side
    277,042x = 357,393,534,976
  5. Step 5: Solve for x
    x = 357,393,534,976/277,042
  6. Step 6: Final answer
    x = 1,290,033.77

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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.