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Finding the Third Proportional to 767,287.69 and 1,203,601.78

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Solution

The third proportional to 767,287.69 and 1,203,601.78 is: 1,888,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,287.69 : 1,203,601.78 = 1,203,601.78 : x
  2. Step 2: Convert to fraction form
    767,287.69/1,203,601.78 = 1,203,601.78/x
  3. Step 3: Cross multiply
    767,287.69x = 1,203,601.78 × 1,203,601.78
  4. Step 4: Simplify right side
    767,287.69x = 1,448,657,247,828.17
  5. Step 5: Solve for x
    x = 1,448,657,247,828.17/767,287.69
  6. Step 6: Final answer
    x = 1,888,023.58

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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.