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Finding the Third Proportional to 217,410 and 466,977

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Solution

The third proportional to 217,410 and 466,977 is: 1,003,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,410 : 466,977 = 466,977 : x
  2. Step 2: Convert to fraction form
    217,410/466,977 = 466,977/x
  3. Step 3: Cross multiply
    217,410x = 466,977 × 466,977
  4. Step 4: Simplify right side
    217,410x = 218,067,518,529
  5. Step 5: Solve for x
    x = 218,067,518,529/217,410
  6. Step 6: Final answer
    x = 1,003,024.33

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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.