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Finding the Third Proportional to 443,063.25 and 664,456.50

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Solution

The third proportional to 443,063.25 and 664,456.50 is: 996,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,063.25 : 664,456.50 = 664,456.50 : x
  2. Step 2: Convert to fraction form
    443,063.25/664,456.50 = 664,456.50/x
  3. Step 3: Cross multiply
    443,063.25x = 664,456.50 × 664,456.50
  4. Step 4: Simplify right side
    443,063.25x = 441,502,440,392.25
  5. Step 5: Solve for x
    x = 441,502,440,392.25/443,063.25
  6. Step 6: Final answer
    x = 996,477.23

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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.