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Finding the Third Proportional to 211,464 and 464,986

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Solution

The third proportional to 211,464 and 464,986 is: 1,022,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,464 : 464,986 = 464,986 : x
  2. Step 2: Convert to fraction form
    211,464/464,986 = 464,986/x
  3. Step 3: Cross multiply
    211,464x = 464,986 × 464,986
  4. Step 4: Simplify right side
    211,464x = 216,211,980,196
  5. Step 5: Solve for x
    x = 216,211,980,196/211,464
  6. Step 6: Final answer
    x = 1,022,452.90

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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.