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Finding the Third Proportional to 444,157 and 633,019.50

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Solution

The third proportional to 444,157 and 633,019.50 is: 902,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,157 : 633,019.50 = 633,019.50 : x
  2. Step 2: Convert to fraction form
    444,157/633,019.50 = 633,019.50/x
  3. Step 3: Cross multiply
    444,157x = 633,019.50 × 633,019.50
  4. Step 4: Simplify right side
    444,157x = 400,713,687,380.25
  5. Step 5: Solve for x
    x = 400,713,687,380.25/444,157
  6. Step 6: Final answer
    x = 902,189.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.