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Finding the Third Proportional to 332,144 and 515,712

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Solution

The third proportional to 332,144 and 515,712 is: 800,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,144 : 515,712 = 515,712 : x
  2. Step 2: Convert to fraction form
    332,144/515,712 = 515,712/x
  3. Step 3: Cross multiply
    332,144x = 515,712 × 515,712
  4. Step 4: Simplify right side
    332,144x = 265,958,866,944
  5. Step 5: Solve for x
    x = 265,958,866,944/332,144
  6. Step 6: Final answer
    x = 800,733.62

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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.