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Finding the Third Proportional to 344,924 and 515,261

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Solution

The third proportional to 344,924 and 515,261 is: 769,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,924 : 515,261 = 515,261 : x
  2. Step 2: Convert to fraction form
    344,924/515,261 = 515,261/x
  3. Step 3: Cross multiply
    344,924x = 515,261 × 515,261
  4. Step 4: Simplify right side
    344,924x = 265,493,898,121
  5. Step 5: Solve for x
    x = 265,493,898,121/344,924
  6. Step 6: Final answer
    x = 769,717.09

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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.