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Finding the Third Proportional to 209,096 and 452,752

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Solution

The third proportional to 209,096 and 452,752 is: 980,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,096 : 452,752 = 452,752 : x
  2. Step 2: Convert to fraction form
    209,096/452,752 = 452,752/x
  3. Step 3: Cross multiply
    209,096x = 452,752 × 452,752
  4. Step 4: Simplify right side
    209,096x = 204,984,373,504
  5. Step 5: Solve for x
    x = 204,984,373,504/209,096
  6. Step 6: Final answer
    x = 980,336.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.