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Finding the Third Proportional to 204,242 and 446,356

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Solution

The third proportional to 204,242 and 446,356 is: 975,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,242 : 446,356 = 446,356 : x
  2. Step 2: Convert to fraction form
    204,242/446,356 = 446,356/x
  3. Step 3: Cross multiply
    204,242x = 446,356 × 446,356
  4. Step 4: Simplify right side
    204,242x = 199,233,678,736
  5. Step 5: Solve for x
    x = 199,233,678,736/204,242
  6. Step 6: Final answer
    x = 975,478.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.