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Finding the Third Proportional to 217,958 and 467,020

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Solution

The third proportional to 217,958 and 467,020 is: 1,000,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,958 : 467,020 = 467,020 : x
  2. Step 2: Convert to fraction form
    217,958/467,020 = 467,020/x
  3. Step 3: Cross multiply
    217,958x = 467,020 × 467,020
  4. Step 4: Simplify right side
    217,958x = 218,107,680,400
  5. Step 5: Solve for x
    x = 218,107,680,400/217,958
  6. Step 6: Final answer
    x = 1,000,686.74

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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.