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Finding the Third Proportional to 214,370 and 459,844

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Solution

The third proportional to 214,370 and 459,844 is: 986,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,370 : 459,844 = 459,844 : x
  2. Step 2: Convert to fraction form
    214,370/459,844 = 459,844/x
  3. Step 3: Cross multiply
    214,370x = 459,844 × 459,844
  4. Step 4: Simplify right side
    214,370x = 211,456,504,336
  5. Step 5: Solve for x
    x = 211,456,504,336/214,370
  6. Step 6: Final answer
    x = 986,409.03

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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.