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Finding the Third Proportional to 216,979 and 467,253

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Solution

The third proportional to 216,979 and 467,253 is: 1,006,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,979 : 467,253 = 467,253 : x
  2. Step 2: Convert to fraction form
    216,979/467,253 = 467,253/x
  3. Step 3: Cross multiply
    216,979x = 467,253 × 467,253
  4. Step 4: Simplify right side
    216,979x = 218,325,366,009
  5. Step 5: Solve for x
    x = 218,325,366,009/216,979
  6. Step 6: Final answer
    x = 1,006,205.05

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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.