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Finding the Third Proportional to 209,310 and 452,100

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Solution

The third proportional to 209,310 and 452,100 is: 976,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,310 : 452,100 = 452,100 : x
  2. Step 2: Convert to fraction form
    209,310/452,100 = 452,100/x
  3. Step 3: Cross multiply
    209,310x = 452,100 × 452,100
  4. Step 4: Simplify right side
    209,310x = 204,394,410,000
  5. Step 5: Solve for x
    x = 204,394,410,000/209,310
  6. Step 6: Final answer
    x = 976,515.26

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