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Finding the Third Proportional to 347,144 and 721,932

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Solution

The third proportional to 347,144 and 721,932 is: 1,501,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,144 : 721,932 = 721,932 : x
  2. Step 2: Convert to fraction form
    347,144/721,932 = 721,932/x
  3. Step 3: Cross multiply
    347,144x = 721,932 × 721,932
  4. Step 4: Simplify right side
    347,144x = 521,185,812,624
  5. Step 5: Solve for x
    x = 521,185,812,624/347,144
  6. Step 6: Final answer
    x = 1,501,353.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.