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Finding the Third Proportional to 441,254.25 and 952,492.50

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Solution

The third proportional to 441,254.25 and 952,492.50 is: 2,056,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,254.25 : 952,492.50 = 952,492.50 : x
  2. Step 2: Convert to fraction form
    441,254.25/952,492.50 = 952,492.50/x
  3. Step 3: Cross multiply
    441,254.25x = 952,492.50 × 952,492.50
  4. Step 4: Simplify right side
    441,254.25x = 907,241,962,556.25
  5. Step 5: Solve for x
    x = 907,241,962,556.25/441,254.25
  6. Step 6: Final answer
    x = 2,056,052.63

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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.