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Finding the Third Proportional to 217,370.25 and 463,629.75

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Solution

The third proportional to 217,370.25 and 463,629.75 is: 988,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,370.25 : 463,629.75 = 463,629.75 : x
  2. Step 2: Convert to fraction form
    217,370.25/463,629.75 = 463,629.75/x
  3. Step 3: Cross multiply
    217,370.25x = 463,629.75 × 463,629.75
  4. Step 4: Simplify right side
    217,370.25x = 214,952,545,085.06
  5. Step 5: Solve for x
    x = 214,952,545,085.06/217,370.25
  6. Step 6: Final answer
    x = 988,877.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.