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Finding the Third Proportional to 277,295 and 567,733

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Solution

The third proportional to 277,295 and 567,733 is: 1,162,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295 : 567,733 = 567,733 : x
  2. Step 2: Convert to fraction form
    277,295/567,733 = 567,733/x
  3. Step 3: Cross multiply
    277,295x = 567,733 × 567,733
  4. Step 4: Simplify right side
    277,295x = 322,320,759,289
  5. Step 5: Solve for x
    x = 322,320,759,289/277,295
  6. Step 6: Final answer
    x = 1,162,374.94

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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.