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Finding the Third Proportional to 297,766.13 and 649,068.19

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Solution

The third proportional to 297,766.13 and 649,068.19 is: 1,414,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,766.13 : 649,068.19 = 649,068.19 : x
  2. Step 2: Convert to fraction form
    297,766.13/649,068.19 = 649,068.19/x
  3. Step 3: Cross multiply
    297,766.13x = 649,068.19 × 649,068.19
  4. Step 4: Simplify right side
    297,766.13x = 421,289,512,024.54
  5. Step 5: Solve for x
    x = 421,289,512,024.54/297,766.13
  6. Step 6: Final answer
    x = 1,414,833.58

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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.