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Finding the Third Proportional to 301,811.06 and 639,601.31

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Solution

The third proportional to 301,811.06 and 639,601.31 is: 1,355,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,811.06 : 639,601.31 = 639,601.31 : x
  2. Step 2: Convert to fraction form
    301,811.06/639,601.31 = 639,601.31/x
  3. Step 3: Cross multiply
    301,811.06x = 639,601.31 × 639,601.31
  4. Step 4: Simplify right side
    301,811.06x = 409,089,838,951.72
  5. Step 5: Solve for x
    x = 409,089,838,951.72/301,811.06
  6. Step 6: Final answer
    x = 1,355,450.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.