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Finding the Third Proportional to 213,224 and 459,262

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Solution

The third proportional to 213,224 and 459,262 is: 989,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224 : 459,262 = 459,262 : x
  2. Step 2: Convert to fraction form
    213,224/459,262 = 459,262/x
  3. Step 3: Cross multiply
    213,224x = 459,262 × 459,262
  4. Step 4: Simplify right side
    213,224x = 210,921,584,644
  5. Step 5: Solve for x
    x = 210,921,584,644/213,224
  6. Step 6: Final answer
    x = 989,201.89

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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.