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Finding the Third Proportional to 767,277.56 and 1,203,685.31

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Solution

The third proportional to 767,277.56 and 1,203,685.31 is: 1,888,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,277.56 : 1,203,685.31 = 1,203,685.31 : x
  2. Step 2: Convert to fraction form
    767,277.56/1,203,685.31 = 1,203,685.31/x
  3. Step 3: Cross multiply
    767,277.56x = 1,203,685.31 × 1,203,685.31
  4. Step 4: Simplify right side
    767,277.56x = 1,448,858,331,528.22
  5. Step 5: Solve for x
    x = 1,448,858,331,528.22/767,277.56
  6. Step 6: Final answer
    x = 1,888,310.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.