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Finding the Third Proportional to 217,368.94 and 463,626.19

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Solution

The third proportional to 217,368.94 and 463,626.19 is: 988,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,368.94 : 463,626.19 = 463,626.19 : x
  2. Step 2: Convert to fraction form
    217,368.94/463,626.19 = 463,626.19/x
  3. Step 3: Cross multiply
    217,368.94x = 463,626.19 × 463,626.19
  4. Step 4: Simplify right side
    217,368.94x = 214,949,241,735.79
  5. Step 5: Solve for x
    x = 214,949,241,735.79/217,368.94
  6. Step 6: Final answer
    x = 988,868.25

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Why These Related Problems?

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