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Finding the Third Proportional to 212,222 and 459,436

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Solution

The third proportional to 212,222 and 459,436 is: 994,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,222 : 459,436 = 459,436 : x
  2. Step 2: Convert to fraction form
    212,222/459,436 = 459,436/x
  3. Step 3: Cross multiply
    212,222x = 459,436 × 459,436
  4. Step 4: Simplify right side
    212,222x = 211,081,438,096
  5. Step 5: Solve for x
    x = 211,081,438,096/212,222
  6. Step 6: Final answer
    x = 994,625.62

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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.