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Finding the Third Proportional to 127,817 and 276,789

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Solution

The third proportional to 127,817 and 276,789 is: 599,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,817 : 276,789 = 276,789 : x
  2. Step 2: Convert to fraction form
    127,817/276,789 = 276,789/x
  3. Step 3: Cross multiply
    127,817x = 276,789 × 276,789
  4. Step 4: Simplify right side
    127,817x = 76,612,150,521
  5. Step 5: Solve for x
    x = 76,612,150,521/127,817
  6. Step 6: Final answer
    x = 599,389.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.