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Finding the Third Proportional to 225,505 and 485,030

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Solution

The third proportional to 225,505 and 485,030 is: 1,043,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,505 : 485,030 = 485,030 : x
  2. Step 2: Convert to fraction form
    225,505/485,030 = 485,030/x
  3. Step 3: Cross multiply
    225,505x = 485,030 × 485,030
  4. Step 4: Simplify right side
    225,505x = 235,254,100,900
  5. Step 5: Solve for x
    x = 235,254,100,900/225,505
  6. Step 6: Final answer
    x = 1,043,232.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.