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Finding the Third Proportional to 211,039 and 461,246

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Solution

The third proportional to 211,039 and 461,246 is: 1,008,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,039 : 461,246 = 461,246 : x
  2. Step 2: Convert to fraction form
    211,039/461,246 = 461,246/x
  3. Step 3: Cross multiply
    211,039x = 461,246 × 461,246
  4. Step 4: Simplify right side
    211,039x = 212,747,872,516
  5. Step 5: Solve for x
    x = 212,747,872,516/211,039
  6. Step 6: Final answer
    x = 1,008,097.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.