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Finding the Third Proportional to 443,020.50 and 967,243.50

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Solution

The third proportional to 443,020.50 and 967,243.50 is: 2,111,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,020.50 : 967,243.50 = 967,243.50 : x
  2. Step 2: Convert to fraction form
    443,020.50/967,243.50 = 967,243.50/x
  3. Step 3: Cross multiply
    443,020.50x = 967,243.50 × 967,243.50
  4. Step 4: Simplify right side
    443,020.50x = 935,559,988,292.25
  5. Step 5: Solve for x
    x = 935,559,988,292.25/443,020.50
  6. Step 6: Final answer
    x = 2,111,775.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.