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Finding the Third Proportional to 368,046 and 789,296

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Solution

The third proportional to 368,046 and 789,296 is: 1,692,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,046 : 789,296 = 789,296 : x
  2. Step 2: Convert to fraction form
    368,046/789,296 = 789,296/x
  3. Step 3: Cross multiply
    368,046x = 789,296 × 789,296
  4. Step 4: Simplify right side
    368,046x = 622,988,175,616
  5. Step 5: Solve for x
    x = 622,988,175,616/368,046
  6. Step 6: Final answer
    x = 1,692,691.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.