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Finding the Third Proportional to 277,192 and 592,296

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Solution

The third proportional to 277,192 and 592,296 is: 1,265,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,192 : 592,296 = 592,296 : x
  2. Step 2: Convert to fraction form
    277,192/592,296 = 592,296/x
  3. Step 3: Cross multiply
    277,192x = 592,296 × 592,296
  4. Step 4: Simplify right side
    277,192x = 350,814,551,616
  5. Step 5: Solve for x
    x = 350,814,551,616/277,192
  6. Step 6: Final answer
    x = 1,265,601.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.