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Finding the Third Proportional to 324,887 and 502,086

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Solution

The third proportional to 324,887 and 502,086 is: 775,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,887 : 502,086 = 502,086 : x
  2. Step 2: Convert to fraction form
    324,887/502,086 = 502,086/x
  3. Step 3: Cross multiply
    324,887x = 502,086 × 502,086
  4. Step 4: Simplify right side
    324,887x = 252,090,351,396
  5. Step 5: Solve for x
    x = 252,090,351,396/324,887
  6. Step 6: Final answer
    x = 775,932.41

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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.