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Finding the Third Proportional to 330,473.36 and 445,886.96

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Solution

The third proportional to 330,473.36 and 445,886.96 is: 601,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,473.36 : 445,886.96 = 445,886.96 : x
  2. Step 2: Convert to fraction form
    330,473.36/445,886.96 = 445,886.96/x
  3. Step 3: Cross multiply
    330,473.36x = 445,886.96 × 445,886.96
  4. Step 4: Simplify right side
    330,473.36x = 198,815,185,417.57
  5. Step 5: Solve for x
    x = 198,815,185,417.57/330,473.36
  6. Step 6: Final answer
    x = 601,607.31

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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.