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Finding the Third Proportional to 270,635.06 and 378,363.94

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Solution

The third proportional to 270,635.06 and 378,363.94 is: 528,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,635.06 : 378,363.94 = 378,363.94 : x
  2. Step 2: Convert to fraction form
    270,635.06/378,363.94 = 378,363.94/x
  3. Step 3: Cross multiply
    270,635.06x = 378,363.94 × 378,363.94
  4. Step 4: Simplify right side
    270,635.06x = 143,159,269,200.50
  5. Step 5: Solve for x
    x = 143,159,269,200.50/270,635.06
  6. Step 6: Final answer
    x = 528,975.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.