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Finding the Third Proportional to 324,883 and 502,080

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Solution

The third proportional to 324,883 and 502,080 is: 775,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,883 : 502,080 = 502,080 : x
  2. Step 2: Convert to fraction form
    324,883/502,080 = 502,080/x
  3. Step 3: Cross multiply
    324,883x = 502,080 × 502,080
  4. Step 4: Simplify right side
    324,883x = 252,084,326,400
  5. Step 5: Solve for x
    x = 252,084,326,400/324,883
  6. Step 6: Final answer
    x = 775,923.41

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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.