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Finding the Third Proportional to 339,093.84 and 731,424.94

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Solution

The third proportional to 339,093.84 and 731,424.94 is: 1,577,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,093.84 : 731,424.94 = 731,424.94 : x
  2. Step 2: Convert to fraction form
    339,093.84/731,424.94 = 731,424.94/x
  3. Step 3: Cross multiply
    339,093.84x = 731,424.94 × 731,424.94
  4. Step 4: Simplify right side
    339,093.84x = 534,982,439,196.88
  5. Step 5: Solve for x
    x = 534,982,439,196.88/339,093.84
  6. Step 6: Final answer
    x = 1,577,682.55

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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.