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Finding the Third Proportional to 214,333 and 466,760

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Solution

The third proportional to 214,333 and 466,760 is: 1,016,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,333 : 466,760 = 466,760 : x
  2. Step 2: Convert to fraction form
    214,333/466,760 = 466,760/x
  3. Step 3: Cross multiply
    214,333x = 466,760 × 466,760
  4. Step 4: Simplify right side
    214,333x = 217,864,897,600
  5. Step 5: Solve for x
    x = 217,864,897,600/214,333
  6. Step 6: Final answer
    x = 1,016,478.55

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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.