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Finding the Third Proportional to 190,724.63 and 414,223.88

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Solution

The third proportional to 190,724.63 and 414,223.88 is: 899,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,724.63 : 414,223.88 = 414,223.88 : x
  2. Step 2: Convert to fraction form
    190,724.63/414,223.88 = 414,223.88/x
  3. Step 3: Cross multiply
    190,724.63x = 414,223.88 × 414,223.88
  4. Step 4: Simplify right side
    190,724.63x = 171,581,418,620.02
  5. Step 5: Solve for x
    x = 171,581,418,620.02/190,724.63
  6. Step 6: Final answer
    x = 899,629.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.