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Finding the Third Proportional to 324,888 and 509,769

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Solution

The third proportional to 324,888 and 509,769 is: 799,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,888 : 509,769 = 509,769 : x
  2. Step 2: Convert to fraction form
    324,888/509,769 = 509,769/x
  3. Step 3: Cross multiply
    324,888x = 509,769 × 509,769
  4. Step 4: Simplify right side
    324,888x = 259,864,433,361
  5. Step 5: Solve for x
    x = 259,864,433,361/324,888
  6. Step 6: Final answer
    x = 799,858.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.