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Finding the Third Proportional to 380,925 and 793,378

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Solution

The third proportional to 380,925 and 793,378 is: 1,652,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,925 : 793,378 = 793,378 : x
  2. Step 2: Convert to fraction form
    380,925/793,378 = 793,378/x
  3. Step 3: Cross multiply
    380,925x = 793,378 × 793,378
  4. Step 4: Simplify right side
    380,925x = 629,448,650,884
  5. Step 5: Solve for x
    x = 629,448,650,884/380,925
  6. Step 6: Final answer
    x = 1,652,421.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.