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Finding the Third Proportional to 340,424 and 731,384

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Solution

The third proportional to 340,424 and 731,384 is: 1,571,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,424 : 731,384 = 731,384 : x
  2. Step 2: Convert to fraction form
    340,424/731,384 = 731,384/x
  3. Step 3: Cross multiply
    340,424x = 731,384 × 731,384
  4. Step 4: Simplify right side
    340,424x = 534,922,555,456
  5. Step 5: Solve for x
    x = 534,922,555,456/340,424
  6. Step 6: Final answer
    x = 1,571,342.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.