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Finding the Third Proportional to 441,433.50 and 952,851

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Solution

The third proportional to 441,433.50 and 952,851 is: 2,056,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,433.50 : 952,851 = 952,851 : x
  2. Step 2: Convert to fraction form
    441,433.50/952,851 = 952,851/x
  3. Step 3: Cross multiply
    441,433.50x = 952,851 × 952,851
  4. Step 4: Simplify right side
    441,433.50x = 907,925,028,201
  5. Step 5: Solve for x
    x = 907,925,028,201/441,433.50
  6. Step 6: Final answer
    x = 2,056,765.13

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Why These Related Problems?

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