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Finding the Third Proportional to 210,426.75 and 451,003.50

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Solution

The third proportional to 210,426.75 and 451,003.50 is: 966,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426.75 : 451,003.50 = 451,003.50 : x
  2. Step 2: Convert to fraction form
    210,426.75/451,003.50 = 451,003.50/x
  3. Step 3: Cross multiply
    210,426.75x = 451,003.50 × 451,003.50
  4. Step 4: Simplify right side
    210,426.75x = 203,404,157,012.25
  5. Step 5: Solve for x
    x = 203,404,157,012.25/210,426.75
  6. Step 6: Final answer
    x = 966,626.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.