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Finding the Third Proportional to 214,376 and 459,856

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Solution

The third proportional to 214,376 and 459,856 is: 986,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,376 : 459,856 = 459,856 : x
  2. Step 2: Convert to fraction form
    214,376/459,856 = 459,856/x
  3. Step 3: Cross multiply
    214,376x = 459,856 × 459,856
  4. Step 4: Simplify right side
    214,376x = 211,467,540,736
  5. Step 5: Solve for x
    x = 211,467,540,736/214,376
  6. Step 6: Final answer
    x = 986,432.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.