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Finding the Third Proportional to 211,466 and 464,990

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Solution

The third proportional to 211,466 and 464,990 is: 1,022,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466 : 464,990 = 464,990 : x
  2. Step 2: Convert to fraction form
    211,466/464,990 = 464,990/x
  3. Step 3: Cross multiply
    211,466x = 464,990 × 464,990
  4. Step 4: Simplify right side
    211,466x = 216,215,700,100
  5. Step 5: Solve for x
    x = 216,215,700,100/211,466
  6. Step 6: Final answer
    x = 1,022,460.82

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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.