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Finding the Third Proportional to 221,538 and 485,962

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Solution

The third proportional to 221,538 and 485,962 is: 1,065,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,538 : 485,962 = 485,962 : x
  2. Step 2: Convert to fraction form
    221,538/485,962 = 485,962/x
  3. Step 3: Cross multiply
    221,538x = 485,962 × 485,962
  4. Step 4: Simplify right side
    221,538x = 236,159,065,444
  5. Step 5: Solve for x
    x = 236,159,065,444/221,538
  6. Step 6: Final answer
    x = 1,065,998.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.