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Finding the Third Proportional to 354,120 and 767,244

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Solution

The third proportional to 354,120 and 767,244 is: 1,662,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,120 : 767,244 = 767,244 : x
  2. Step 2: Convert to fraction form
    354,120/767,244 = 767,244/x
  3. Step 3: Cross multiply
    354,120x = 767,244 × 767,244
  4. Step 4: Simplify right side
    354,120x = 588,663,355,536
  5. Step 5: Solve for x
    x = 588,663,355,536/354,120
  6. Step 6: Final answer
    x = 1,662,327.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.