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Finding the Third Proportional to 343,383 and 743,968.50

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Solution

The third proportional to 343,383 and 743,968.50 is: 1,611,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,383 : 743,968.50 = 743,968.50 : x
  2. Step 2: Convert to fraction form
    343,383/743,968.50 = 743,968.50/x
  3. Step 3: Cross multiply
    343,383x = 743,968.50 × 743,968.50
  4. Step 4: Simplify right side
    343,383x = 553,489,128,992.25
  5. Step 5: Solve for x
    x = 553,489,128,992.25/343,383
  6. Step 6: Final answer
    x = 1,611,871.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.