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Finding the Third Proportional to 209,072 and 451,680

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Solution

The third proportional to 209,072 and 451,680 is: 975,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,072 : 451,680 = 451,680 : x
  2. Step 2: Convert to fraction form
    209,072/451,680 = 451,680/x
  3. Step 3: Cross multiply
    209,072x = 451,680 × 451,680
  4. Step 4: Simplify right side
    209,072x = 204,014,822,400
  5. Step 5: Solve for x
    x = 204,014,822,400/209,072
  6. Step 6: Final answer
    x = 975,811.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.