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Finding the Third Proportional to 209,445.50 and 452,097.75

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Solution

The third proportional to 209,445.50 and 452,097.75 is: 975,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,445.50 : 452,097.75 = 452,097.75 : x
  2. Step 2: Convert to fraction form
    209,445.50/452,097.75 = 452,097.75/x
  3. Step 3: Cross multiply
    209,445.50x = 452,097.75 × 452,097.75
  4. Step 4: Simplify right side
    209,445.50x = 204,392,375,555.06
  5. Step 5: Solve for x
    x = 204,392,375,555.06/209,445.50
  6. Step 6: Final answer
    x = 975,873.80

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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.