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Finding the Third Proportional to 344,928 and 515,274

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Solution

The third proportional to 344,928 and 515,274 is: 769,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,928 : 515,274 = 515,274 : x
  2. Step 2: Convert to fraction form
    344,928/515,274 = 515,274/x
  3. Step 3: Cross multiply
    344,928x = 515,274 × 515,274
  4. Step 4: Simplify right side
    344,928x = 265,507,295,076
  5. Step 5: Solve for x
    x = 265,507,295,076/344,928
  6. Step 6: Final answer
    x = 769,747.01

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