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Finding the Third Proportional to 344,936 and 740,272

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Solution

The third proportional to 344,936 and 740,272 is: 1,588,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,936 : 740,272 = 740,272 : x
  2. Step 2: Convert to fraction form
    344,936/740,272 = 740,272/x
  3. Step 3: Cross multiply
    344,936x = 740,272 × 740,272
  4. Step 4: Simplify right side
    344,936x = 548,002,633,984
  5. Step 5: Solve for x
    x = 548,002,633,984/344,936
  6. Step 6: Final answer
    x = 1,588,708.15

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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.