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Finding the Third Proportional to 291,207 and 445,851

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Solution

The third proportional to 291,207 and 445,851 is: 682,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,207 : 445,851 = 445,851 : x
  2. Step 2: Convert to fraction form
    291,207/445,851 = 445,851/x
  3. Step 3: Cross multiply
    291,207x = 445,851 × 445,851
  4. Step 4: Simplify right side
    291,207x = 198,783,114,201
  5. Step 5: Solve for x
    x = 198,783,114,201/291,207
  6. Step 6: Final answer
    x = 682,617.91

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Why These Related Problems?

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