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Finding the Third Proportional to 294,873.75 and 450,906.75

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Solution

The third proportional to 294,873.75 and 450,906.75 is: 689,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,873.75 : 450,906.75 = 450,906.75 : x
  2. Step 2: Convert to fraction form
    294,873.75/450,906.75 = 450,906.75/x
  3. Step 3: Cross multiply
    294,873.75x = 450,906.75 × 450,906.75
  4. Step 4: Simplify right side
    294,873.75x = 203,316,897,195.56
  5. Step 5: Solve for x
    x = 203,316,897,195.56/294,873.75
  6. Step 6: Final answer
    x = 689,504.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.