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Finding the Third Proportional to 214,854 and 467,940

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Solution

The third proportional to 214,854 and 467,940 is: 1,019,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,854 : 467,940 = 467,940 : x
  2. Step 2: Convert to fraction form
    214,854/467,940 = 467,940/x
  3. Step 3: Cross multiply
    214,854x = 467,940 × 467,940
  4. Step 4: Simplify right side
    214,854x = 218,967,843,600
  5. Step 5: Solve for x
    x = 218,967,843,600/214,854
  6. Step 6: Final answer
    x = 1,019,147.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.