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Finding the Third Proportional to 361,932 and 788,112

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Solution

The third proportional to 361,932 and 788,112 is: 1,716,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,932 : 788,112 = 788,112 : x
  2. Step 2: Convert to fraction form
    361,932/788,112 = 788,112/x
  3. Step 3: Cross multiply
    361,932x = 788,112 × 788,112
  4. Step 4: Simplify right side
    361,932x = 621,120,524,544
  5. Step 5: Solve for x
    x = 621,120,524,544/361,932
  6. Step 6: Final answer
    x = 1,716,124.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.