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Finding the Third Proportional to 363,765 and 793,608

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Solution

The third proportional to 363,765 and 793,608 is: 1,731,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,765 : 793,608 = 793,608 : x
  2. Step 2: Convert to fraction form
    363,765/793,608 = 793,608/x
  3. Step 3: Cross multiply
    363,765x = 793,608 × 793,608
  4. Step 4: Simplify right side
    363,765x = 629,813,657,664
  5. Step 5: Solve for x
    x = 629,813,657,664/363,765
  6. Step 6: Final answer
    x = 1,731,375.08

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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.