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Finding the Third Proportional to 347,227 and 760,927

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Solution

The third proportional to 347,227 and 760,927 is: 1,667,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,227 : 760,927 = 760,927 : x
  2. Step 2: Convert to fraction form
    347,227/760,927 = 760,927/x
  3. Step 3: Cross multiply
    347,227x = 760,927 × 760,927
  4. Step 4: Simplify right side
    347,227x = 579,009,899,329
  5. Step 5: Solve for x
    x = 579,009,899,329/347,227
  6. Step 6: Final answer
    x = 1,667,525.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.