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Finding the Third Proportional to 297,776.25 and 649,093.50

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Solution

The third proportional to 297,776.25 and 649,093.50 is: 1,414,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,776.25 : 649,093.50 = 649,093.50 : x
  2. Step 2: Convert to fraction form
    297,776.25/649,093.50 = 649,093.50/x
  3. Step 3: Cross multiply
    297,776.25x = 649,093.50 × 649,093.50
  4. Step 4: Simplify right side
    297,776.25x = 421,322,371,742.25
  5. Step 5: Solve for x
    x = 421,322,371,742.25/297,776.25
  6. Step 6: Final answer
    x = 1,414,895.82

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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.