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Finding the Third Proportional to 354,648 and 788,016

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Solution

The third proportional to 354,648 and 788,016 is: 1,750,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,648 : 788,016 = 788,016 : x
  2. Step 2: Convert to fraction form
    354,648/788,016 = 788,016/x
  3. Step 3: Cross multiply
    354,648x = 788,016 × 788,016
  4. Step 4: Simplify right side
    354,648x = 620,969,216,256
  5. Step 5: Solve for x
    x = 620,969,216,256/354,648
  6. Step 6: Final answer
    x = 1,750,945.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.