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Finding the Third Proportional to 306,072 and 661,324.50

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Solution

The third proportional to 306,072 and 661,324.50 is: 1,428,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072 : 661,324.50 = 661,324.50 : x
  2. Step 2: Convert to fraction form
    306,072/661,324.50 = 661,324.50/x
  3. Step 3: Cross multiply
    306,072x = 661,324.50 × 661,324.50
  4. Step 4: Simplify right side
    306,072x = 437,350,094,300.25
  5. Step 5: Solve for x
    x = 437,350,094,300.25/306,072
  6. Step 6: Final answer
    x = 1,428,912.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.