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Finding the Third Proportional to 332,517 and 515,929

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Solution

The third proportional to 332,517 and 515,929 is: 800,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,517 : 515,929 = 515,929 : x
  2. Step 2: Convert to fraction form
    332,517/515,929 = 515,929/x
  3. Step 3: Cross multiply
    332,517x = 515,929 × 515,929
  4. Step 4: Simplify right side
    332,517x = 266,182,733,041
  5. Step 5: Solve for x
    x = 266,182,733,041/332,517
  6. Step 6: Final answer
    x = 800,508.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.