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Finding the Third Proportional to 225,447.75 and 492,448.50

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Solution

The third proportional to 225,447.75 and 492,448.50 is: 1,075,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,447.75 : 492,448.50 = 492,448.50 : x
  2. Step 2: Convert to fraction form
    225,447.75/492,448.50 = 492,448.50/x
  3. Step 3: Cross multiply
    225,447.75x = 492,448.50 × 492,448.50
  4. Step 4: Simplify right side
    225,447.75x = 242,505,525,152.25
  5. Step 5: Solve for x
    x = 242,505,525,152.25/225,447.75
  6. Step 6: Final answer
    x = 1,075,661.77

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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.