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Finding the Third Proportional to 210,297.75 and 446,885.25

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Solution

The third proportional to 210,297.75 and 446,885.25 is: 949,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,297.75 : 446,885.25 = 446,885.25 : x
  2. Step 2: Convert to fraction form
    210,297.75/446,885.25 = 446,885.25/x
  3. Step 3: Cross multiply
    210,297.75x = 446,885.25 × 446,885.25
  4. Step 4: Simplify right side
    210,297.75x = 199,706,426,667.56
  5. Step 5: Solve for x
    x = 199,706,426,667.56/210,297.75
  6. Step 6: Final answer
    x = 949,636.54

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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.