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Finding the Third Proportional to 740,299.50 and 1,536,610.50

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Solution

The third proportional to 740,299.50 and 1,536,610.50 is: 3,189,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,299.50 : 1,536,610.50 = 1,536,610.50 : x
  2. Step 2: Convert to fraction form
    740,299.50/1,536,610.50 = 1,536,610.50/x
  3. Step 3: Cross multiply
    740,299.50x = 1,536,610.50 × 1,536,610.50
  4. Step 4: Simplify right side
    740,299.50x = 2,361,171,828,710.25
  5. Step 5: Solve for x
    x = 2,361,171,828,710.25/740,299.50
  6. Step 6: Final answer
    x = 3,189,481.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.