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Finding the Third Proportional to 332,944 and 512,296

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Solution

The third proportional to 332,944 and 512,296 is: 788,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,944 : 512,296 = 512,296 : x
  2. Step 2: Convert to fraction form
    332,944/512,296 = 512,296/x
  3. Step 3: Cross multiply
    332,944x = 512,296 × 512,296
  4. Step 4: Simplify right side
    332,944x = 262,447,191,616
  5. Step 5: Solve for x
    x = 262,447,191,616/332,944
  6. Step 6: Final answer
    x = 788,262.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.