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Finding the Third Proportional to 211,524 and 459,912

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Solution

The third proportional to 211,524 and 459,912 is: 999,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 459,912 = 459,912 : x
  2. Step 2: Convert to fraction form
    211,524/459,912 = 459,912/x
  3. Step 3: Cross multiply
    211,524x = 459,912 × 459,912
  4. Step 4: Simplify right side
    211,524x = 211,519,047,744
  5. Step 5: Solve for x
    x = 211,519,047,744/211,524
  6. Step 6: Final answer
    x = 999,976.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.