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Finding the Third Proportional to 326,787 and 504,747

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Solution

The third proportional to 326,787 and 504,747 is: 779,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,787 : 504,747 = 504,747 : x
  2. Step 2: Convert to fraction form
    326,787/504,747 = 504,747/x
  3. Step 3: Cross multiply
    326,787x = 504,747 × 504,747
  4. Step 4: Simplify right side
    326,787x = 254,769,534,009
  5. Step 5: Solve for x
    x = 254,769,534,009/326,787
  6. Step 6: Final answer
    x = 779,619.55

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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.