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Finding the Third Proportional to 326,256 and 493,884

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Solution

The third proportional to 326,256 and 493,884 is: 747,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,256 : 493,884 = 493,884 : x
  2. Step 2: Convert to fraction form
    326,256/493,884 = 493,884/x
  3. Step 3: Cross multiply
    326,256x = 493,884 × 493,884
  4. Step 4: Simplify right side
    326,256x = 243,921,405,456
  5. Step 5: Solve for x
    x = 243,921,405,456/326,256
  6. Step 6: Final answer
    x = 747,638.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.