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Finding the Third Proportional to 277,308 and 567,759

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Solution

The third proportional to 277,308 and 567,759 is: 1,162,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308 : 567,759 = 567,759 : x
  2. Step 2: Convert to fraction form
    277,308/567,759 = 567,759/x
  3. Step 3: Cross multiply
    277,308x = 567,759 × 567,759
  4. Step 4: Simplify right side
    277,308x = 322,350,282,081
  5. Step 5: Solve for x
    x = 322,350,282,081/277,308
  6. Step 6: Final answer
    x = 1,162,426.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.