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Finding the Third Proportional to 209,048 and 451,636

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Solution

The third proportional to 209,048 and 451,636 is: 975,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048 : 451,636 = 451,636 : x
  2. Step 2: Convert to fraction form
    209,048/451,636 = 451,636/x
  3. Step 3: Cross multiply
    209,048x = 451,636 × 451,636
  4. Step 4: Simplify right side
    209,048x = 203,975,076,496
  5. Step 5: Solve for x
    x = 203,975,076,496/209,048
  6. Step 6: Final answer
    x = 975,733.21

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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.