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Finding the Third Proportional to 248,421.94 and 394,016.06

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Solution

The third proportional to 248,421.94 and 394,016.06 is: 624,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,421.94 : 394,016.06 = 394,016.06 : x
  2. Step 2: Convert to fraction form
    248,421.94/394,016.06 = 394,016.06/x
  3. Step 3: Cross multiply
    248,421.94x = 394,016.06 × 394,016.06
  4. Step 4: Simplify right side
    248,421.94x = 155,248,657,508.00
  5. Step 5: Solve for x
    x = 155,248,657,508.00/248,421.94
  6. Step 6: Final answer
    x = 624,939.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.