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Finding the Third Proportional to 198,410.63 and 416,477.25

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Solution

The third proportional to 198,410.63 and 416,477.25 is: 874,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,410.63 : 416,477.25 = 416,477.25 : x
  2. Step 2: Convert to fraction form
    198,410.63/416,477.25 = 416,477.25/x
  3. Step 3: Cross multiply
    198,410.63x = 416,477.25 × 416,477.25
  4. Step 4: Simplify right side
    198,410.63x = 173,453,299,767.56
  5. Step 5: Solve for x
    x = 173,453,299,767.56/198,410.63
  6. Step 6: Final answer
    x = 874,213.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.