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Finding the Third Proportional to 326,673 and 504,711

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Solution

The third proportional to 326,673 and 504,711 is: 779,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,673 : 504,711 = 504,711 : x
  2. Step 2: Convert to fraction form
    326,673/504,711 = 504,711/x
  3. Step 3: Cross multiply
    326,673x = 504,711 × 504,711
  4. Step 4: Simplify right side
    326,673x = 254,733,193,521
  5. Step 5: Solve for x
    x = 254,733,193,521/326,673
  6. Step 6: Final answer
    x = 779,780.37

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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.