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Finding the Third Proportional to 216,619 and 483,043

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Solution

The third proportional to 216,619 and 483,043 is: 1,077,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,619 : 483,043 = 483,043 : x
  2. Step 2: Convert to fraction form
    216,619/483,043 = 483,043/x
  3. Step 3: Cross multiply
    216,619x = 483,043 × 483,043
  4. Step 4: Simplify right side
    216,619x = 233,330,539,849
  5. Step 5: Solve for x
    x = 233,330,539,849/216,619
  6. Step 6: Final answer
    x = 1,077,147.16

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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.