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Finding the Third Proportional to 209,784 and 449,232

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Solution

The third proportional to 209,784 and 449,232 is: 961,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784 : 449,232 = 449,232 : x
  2. Step 2: Convert to fraction form
    209,784/449,232 = 449,232/x
  3. Step 3: Cross multiply
    209,784x = 449,232 × 449,232
  4. Step 4: Simplify right side
    209,784x = 201,809,389,824
  5. Step 5: Solve for x
    x = 201,809,389,824/209,784
  6. Step 6: Final answer
    x = 961,986.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.