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Finding the Third Proportional to 340,885 and 743,978

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Solution

The third proportional to 340,885 and 743,978 is: 1,623,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,885 : 743,978 = 743,978 : x
  2. Step 2: Convert to fraction form
    340,885/743,978 = 743,978/x
  3. Step 3: Cross multiply
    340,885x = 743,978 × 743,978
  4. Step 4: Simplify right side
    340,885x = 553,503,264,484
  5. Step 5: Solve for x
    x = 553,503,264,484/340,885
  6. Step 6: Final answer
    x = 1,623,724.32

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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.