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Finding the Third Proportional to 442,973.81 and 664,324.03

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Solution

The third proportional to 442,973.81 and 664,324.03 is: 996,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,973.81 : 664,324.03 = 664,324.03 : x
  2. Step 2: Convert to fraction form
    442,973.81/664,324.03 = 664,324.03/x
  3. Step 3: Cross multiply
    442,973.81x = 664,324.03 × 664,324.03
  4. Step 4: Simplify right side
    442,973.81x = 441,326,418,496.25
  5. Step 5: Solve for x
    x = 441,326,418,496.25/442,973.81
  6. Step 6: Final answer
    x = 996,281.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.