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Finding the Third Proportional to 236,880 and 483,275.25

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Solution

The third proportional to 236,880 and 483,275.25 is: 985,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,880 : 483,275.25 = 483,275.25 : x
  2. Step 2: Convert to fraction form
    236,880/483,275.25 = 483,275.25/x
  3. Step 3: Cross multiply
    236,880x = 483,275.25 × 483,275.25
  4. Step 4: Simplify right side
    236,880x = 233,554,967,262.56
  5. Step 5: Solve for x
    x = 233,554,967,262.56/236,880
  6. Step 6: Final answer
    x = 985,963.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.