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Finding the Third Proportional to 209,470.50 and 452,144.25

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Solution

The third proportional to 209,470.50 and 452,144.25 is: 975,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,470.50 : 452,144.25 = 452,144.25 : x
  2. Step 2: Convert to fraction form
    209,470.50/452,144.25 = 452,144.25/x
  3. Step 3: Cross multiply
    209,470.50x = 452,144.25 × 452,144.25
  4. Step 4: Simplify right side
    209,470.50x = 204,434,422,808.06
  5. Step 5: Solve for x
    x = 204,434,422,808.06/209,470.50
  6. Step 6: Final answer
    x = 975,958.06

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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.