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Finding the Third Proportional to 364,392 and 770,328

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Solution

The third proportional to 364,392 and 770,328 is: 1,628,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,392 : 770,328 = 770,328 : x
  2. Step 2: Convert to fraction form
    364,392/770,328 = 770,328/x
  3. Step 3: Cross multiply
    364,392x = 770,328 × 770,328
  4. Step 4: Simplify right side
    364,392x = 593,405,227,584
  5. Step 5: Solve for x
    x = 593,405,227,584/364,392
  6. Step 6: Final answer
    x = 1,628,480.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.