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Finding the Third Proportional to 277,289 and 567,714

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Solution

The third proportional to 277,289 and 567,714 is: 1,162,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289 : 567,714 = 567,714 : x
  2. Step 2: Convert to fraction form
    277,289/567,714 = 567,714/x
  3. Step 3: Cross multiply
    277,289x = 567,714 × 567,714
  4. Step 4: Simplify right side
    277,289x = 322,299,185,796
  5. Step 5: Solve for x
    x = 322,299,185,796/277,289
  6. Step 6: Final answer
    x = 1,162,322.29

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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.