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Finding the Third Proportional to 303,666 and 649,366.50

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Solution

The third proportional to 303,666 and 649,366.50 is: 1,388,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,666 : 649,366.50 = 649,366.50 : x
  2. Step 2: Convert to fraction form
    303,666/649,366.50 = 649,366.50/x
  3. Step 3: Cross multiply
    303,666x = 649,366.50 × 649,366.50
  4. Step 4: Simplify right side
    303,666x = 421,676,851,322.25
  5. Step 5: Solve for x
    x = 421,676,851,322.25/303,666
  6. Step 6: Final answer
    x = 1,388,620.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.