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Finding the Third Proportional to 330,484.50 and 445,900.50

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Solution

The third proportional to 330,484.50 and 445,900.50 is: 601,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,484.50 : 445,900.50 = 445,900.50 : x
  2. Step 2: Convert to fraction form
    330,484.50/445,900.50 = 445,900.50/x
  3. Step 3: Cross multiply
    330,484.50x = 445,900.50 × 445,900.50
  4. Step 4: Simplify right side
    330,484.50x = 198,827,255,900.25
  5. Step 5: Solve for x
    x = 198,827,255,900.25/330,484.50
  6. Step 6: Final answer
    x = 601,623.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.