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Finding the Third Proportional to 209,270 and 447,268

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Solution

The third proportional to 209,270 and 447,268 is: 955,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270 : 447,268 = 447,268 : x
  2. Step 2: Convert to fraction form
    209,270/447,268 = 447,268/x
  3. Step 3: Cross multiply
    209,270x = 447,268 × 447,268
  4. Step 4: Simplify right side
    209,270x = 200,048,663,824
  5. Step 5: Solve for x
    x = 200,048,663,824/209,270
  6. Step 6: Final answer
    x = 955,935.70

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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.