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Finding the Third Proportional to 213,819 and 459,225

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Solution

The third proportional to 213,819 and 459,225 is: 986,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,819 : 459,225 = 459,225 : x
  2. Step 2: Convert to fraction form
    213,819/459,225 = 459,225/x
  3. Step 3: Cross multiply
    213,819x = 459,225 × 459,225
  4. Step 4: Simplify right side
    213,819x = 210,887,600,625
  5. Step 5: Solve for x
    x = 210,887,600,625/213,819
  6. Step 6: Final answer
    x = 986,290.28

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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.