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Finding the Third Proportional to 214,703 and 458,932

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Solution

The third proportional to 214,703 and 458,932 is: 980,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,703 : 458,932 = 458,932 : x
  2. Step 2: Convert to fraction form
    214,703/458,932 = 458,932/x
  3. Step 3: Cross multiply
    214,703x = 458,932 × 458,932
  4. Step 4: Simplify right side
    214,703x = 210,618,580,624
  5. Step 5: Solve for x
    x = 210,618,580,624/214,703
  6. Step 6: Final answer
    x = 980,976.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.