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Finding the Third Proportional to 211,467 and 464,991

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Solution

The third proportional to 211,467 and 464,991 is: 1,022,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,467 : 464,991 = 464,991 : x
  2. Step 2: Convert to fraction form
    211,467/464,991 = 464,991/x
  3. Step 3: Cross multiply
    211,467x = 464,991 × 464,991
  4. Step 4: Simplify right side
    211,467x = 216,216,630,081
  5. Step 5: Solve for x
    x = 216,216,630,081/211,467
  6. Step 6: Final answer
    x = 1,022,460.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.