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Finding the Third Proportional to 767,268 and 1,203,588

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Solution

The third proportional to 767,268 and 1,203,588 is: 1,888,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,268 : 1,203,588 = 1,203,588 : x
  2. Step 2: Convert to fraction form
    767,268/1,203,588 = 1,203,588/x
  3. Step 3: Cross multiply
    767,268x = 1,203,588 × 1,203,588
  4. Step 4: Simplify right side
    767,268x = 1,448,624,073,744
  5. Step 5: Solve for x
    x = 1,448,624,073,744/767,268
  6. Step 6: Final answer
    x = 1,888,028.79

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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.