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Finding the Third Proportional to 214,893 and 468,018

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Solution

The third proportional to 214,893 and 468,018 is: 1,019,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,893 : 468,018 = 468,018 : x
  2. Step 2: Convert to fraction form
    214,893/468,018 = 468,018/x
  3. Step 3: Cross multiply
    214,893x = 468,018 × 468,018
  4. Step 4: Simplify right side
    214,893x = 219,040,848,324
  5. Step 5: Solve for x
    x = 219,040,848,324/214,893
  6. Step 6: Final answer
    x = 1,019,301.92

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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.