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Finding the Third Proportional to 225,018.84 and 492,069.09

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Solution

The third proportional to 225,018.84 and 492,069.09 is: 1,076,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,018.84 : 492,069.09 = 492,069.09 : x
  2. Step 2: Convert to fraction form
    225,018.84/492,069.09 = 492,069.09/x
  3. Step 3: Cross multiply
    225,018.84x = 492,069.09 × 492,069.09
  4. Step 4: Simplify right side
    225,018.84x = 242,131,993,023.95
  5. Step 5: Solve for x
    x = 242,131,993,023.95/225,018.84
  6. Step 6: Final answer
    x = 1,076,052.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.