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Finding the Third Proportional to 344,918 and 515,253

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Solution

The third proportional to 344,918 and 515,253 is: 769,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,918 : 515,253 = 515,253 : x
  2. Step 2: Convert to fraction form
    344,918/515,253 = 515,253/x
  3. Step 3: Cross multiply
    344,918x = 515,253 × 515,253
  4. Step 4: Simplify right side
    344,918x = 265,485,654,009
  5. Step 5: Solve for x
    x = 265,485,654,009/344,918
  6. Step 6: Final answer
    x = 769,706.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.