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Finding the Third Proportional to 212,232 and 459,456

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Solution

The third proportional to 212,232 and 459,456 is: 994,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,232 : 459,456 = 459,456 : x
  2. Step 2: Convert to fraction form
    212,232/459,456 = 459,456/x
  3. Step 3: Cross multiply
    212,232x = 459,456 × 459,456
  4. Step 4: Simplify right side
    212,232x = 211,099,815,936
  5. Step 5: Solve for x
    x = 211,099,815,936/212,232
  6. Step 6: Final answer
    x = 994,665.35

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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.