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Finding the Third Proportional to 216,616.50 and 483,039

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Solution

The third proportional to 216,616.50 and 483,039 is: 1,077,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,616.50 : 483,039 = 483,039 : x
  2. Step 2: Convert to fraction form
    216,616.50/483,039 = 483,039/x
  3. Step 3: Cross multiply
    216,616.50x = 483,039 × 483,039
  4. Step 4: Simplify right side
    216,616.50x = 233,326,675,521
  5. Step 5: Solve for x
    x = 233,326,675,521/216,616.50
  6. Step 6: Final answer
    x = 1,077,141.75

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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.