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Finding the Third Proportional to 619,239.94 and 947,325.38

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Solution

The third proportional to 619,239.94 and 947,325.38 is: 1,449,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,239.94 : 947,325.38 = 947,325.38 : x
  2. Step 2: Convert to fraction form
    619,239.94/947,325.38 = 947,325.38/x
  3. Step 3: Cross multiply
    619,239.94x = 947,325.38 × 947,325.38
  4. Step 4: Simplify right side
    619,239.94x = 897,425,366,118.89
  5. Step 5: Solve for x
    x = 897,425,366,118.89/619,239.94
  6. Step 6: Final answer
    x = 1,449,236.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.