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Finding the Third Proportional to 344,334 and 743,996

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Solution

The third proportional to 344,334 and 743,996 is: 1,607,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,334 : 743,996 = 743,996 : x
  2. Step 2: Convert to fraction form
    344,334/743,996 = 743,996/x
  3. Step 3: Cross multiply
    344,334x = 743,996 × 743,996
  4. Step 4: Simplify right side
    344,334x = 553,530,048,016
  5. Step 5: Solve for x
    x = 553,530,048,016/344,334
  6. Step 6: Final answer
    x = 1,607,538.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.