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Finding the Third Proportional to 209,292 and 448,104

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Solution

The third proportional to 209,292 and 448,104 is: 959,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292 : 448,104 = 448,104 : x
  2. Step 2: Convert to fraction form
    209,292/448,104 = 448,104/x
  3. Step 3: Cross multiply
    209,292x = 448,104 × 448,104
  4. Step 4: Simplify right side
    209,292x = 200,797,194,816
  5. Step 5: Solve for x
    x = 200,797,194,816/209,292
  6. Step 6: Final answer
    x = 959,411.71

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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.