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Finding the Third Proportional to 629,181.75 and 943,840.50

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Solution

The third proportional to 629,181.75 and 943,840.50 is: 1,415,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,181.75 : 943,840.50 = 943,840.50 : x
  2. Step 2: Convert to fraction form
    629,181.75/943,840.50 = 943,840.50/x
  3. Step 3: Cross multiply
    629,181.75x = 943,840.50 × 943,840.50
  4. Step 4: Simplify right side
    629,181.75x = 890,834,889,440.25
  5. Step 5: Solve for x
    x = 890,834,889,440.25/629,181.75
  6. Step 6: Final answer
    x = 1,415,862.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.