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Finding the Third Proportional to 458,851.50 and 947,202.75

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Solution

The third proportional to 458,851.50 and 947,202.75 is: 1,955,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,851.50 : 947,202.75 = 947,202.75 : x
  2. Step 2: Convert to fraction form
    458,851.50/947,202.75 = 947,202.75/x
  3. Step 3: Cross multiply
    458,851.50x = 947,202.75 × 947,202.75
  4. Step 4: Simplify right side
    458,851.50x = 897,193,049,607.56
  5. Step 5: Solve for x
    x = 897,193,049,607.56/458,851.50
  6. Step 6: Final answer
    x = 1,955,301.55

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.