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Finding the Third Proportional to 216,665 and 483,119

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Solution

The third proportional to 216,665 and 483,119 is: 1,077,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,665 : 483,119 = 483,119 : x
  2. Step 2: Convert to fraction form
    216,665/483,119 = 483,119/x
  3. Step 3: Cross multiply
    216,665x = 483,119 × 483,119
  4. Step 4: Simplify right side
    216,665x = 233,403,968,161
  5. Step 5: Solve for x
    x = 233,403,968,161/216,665
  6. Step 6: Final answer
    x = 1,077,257.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.