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Finding the Third Proportional to 212,410 and 459,234

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Solution

The third proportional to 212,410 and 459,234 is: 992,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410 : 459,234 = 459,234 : x
  2. Step 2: Convert to fraction form
    212,410/459,234 = 459,234/x
  3. Step 3: Cross multiply
    212,410x = 459,234 × 459,234
  4. Step 4: Simplify right side
    212,410x = 210,895,866,756
  5. Step 5: Solve for x
    x = 210,895,866,756/212,410
  6. Step 6: Final answer
    x = 992,871.65

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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.