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Finding the Third Proportional to 225,546.75 and 486,352.13

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Solution

The third proportional to 225,546.75 and 486,352.13 is: 1,048,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,546.75 : 486,352.13 = 486,352.13 : x
  2. Step 2: Convert to fraction form
    225,546.75/486,352.13 = 486,352.13/x
  3. Step 3: Cross multiply
    225,546.75x = 486,352.13 × 486,352.13
  4. Step 4: Simplify right side
    225,546.75x = 236,538,389,492.02
  5. Step 5: Solve for x
    x = 236,538,389,492.02/225,546.75
  6. Step 6: Final answer
    x = 1,048,733.31

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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.