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Finding the Third Proportional to 220,035 and 482,145

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Solution

The third proportional to 220,035 and 482,145 is: 1,056,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,035 : 482,145 = 482,145 : x
  2. Step 2: Convert to fraction form
    220,035/482,145 = 482,145/x
  3. Step 3: Cross multiply
    220,035x = 482,145 × 482,145
  4. Step 4: Simplify right side
    220,035x = 232,463,801,025
  5. Step 5: Solve for x
    x = 232,463,801,025/220,035
  6. Step 6: Final answer
    x = 1,056,485.56

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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.