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Finding the Third Proportional to 214,809 and 462,813

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Solution

The third proportional to 214,809 and 462,813 is: 997,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,809 : 462,813 = 462,813 : x
  2. Step 2: Convert to fraction form
    214,809/462,813 = 462,813/x
  3. Step 3: Cross multiply
    214,809x = 462,813 × 462,813
  4. Step 4: Simplify right side
    214,809x = 214,195,872,969
  5. Step 5: Solve for x
    x = 214,195,872,969/214,809
  6. Step 6: Final answer
    x = 997,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.