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Finding the Third Proportional to 759,789.50 and 1,203,107.25

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Solution

The third proportional to 759,789.50 and 1,203,107.25 is: 1,905,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,789.50 : 1,203,107.25 = 1,203,107.25 : x
  2. Step 2: Convert to fraction form
    759,789.50/1,203,107.25 = 1,203,107.25/x
  3. Step 3: Cross multiply
    759,789.50x = 1,203,107.25 × 1,203,107.25
  4. Step 4: Simplify right side
    759,789.50x = 1,447,467,055,002.56
  5. Step 5: Solve for x
    x = 1,447,467,055,002.56/759,789.50
  6. Step 6: Final answer
    x = 1,905,089.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.