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Finding the Third Proportional to 368,741 and 793,534

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Solution

The third proportional to 368,741 and 793,534 is: 1,707,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,741 : 793,534 = 793,534 : x
  2. Step 2: Convert to fraction form
    368,741/793,534 = 793,534/x
  3. Step 3: Cross multiply
    368,741x = 793,534 × 793,534
  4. Step 4: Simplify right side
    368,741x = 629,696,209,156
  5. Step 5: Solve for x
    x = 629,696,209,156/368,741
  6. Step 6: Final answer
    x = 1,707,692.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.