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Finding the Third Proportional to 344,956 and 515,306

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Solution

The third proportional to 344,956 and 515,306 is: 769,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,956 : 515,306 = 515,306 : x
  2. Step 2: Convert to fraction form
    344,956/515,306 = 515,306/x
  3. Step 3: Cross multiply
    344,956x = 515,306 × 515,306
  4. Step 4: Simplify right side
    344,956x = 265,540,273,636
  5. Step 5: Solve for x
    x = 265,540,273,636/344,956
  6. Step 6: Final answer
    x = 769,780.13

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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.