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Finding the Third Proportional to 212,405 and 459,226

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Solution

The third proportional to 212,405 and 459,226 is: 992,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,405 : 459,226 = 459,226 : x
  2. Step 2: Convert to fraction form
    212,405/459,226 = 459,226/x
  3. Step 3: Cross multiply
    212,405x = 459,226 × 459,226
  4. Step 4: Simplify right side
    212,405x = 210,888,519,076
  5. Step 5: Solve for x
    x = 210,888,519,076/212,405
  6. Step 6: Final answer
    x = 992,860.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.