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Finding the Third Proportional to 324,999 and 431,343

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Solution

The third proportional to 324,999 and 431,343 is: 572,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,999 : 431,343 = 431,343 : x
  2. Step 2: Convert to fraction form
    324,999/431,343 = 431,343/x
  3. Step 3: Cross multiply
    324,999x = 431,343 × 431,343
  4. Step 4: Simplify right side
    324,999x = 186,056,783,649
  5. Step 5: Solve for x
    x = 186,056,783,649/324,999
  6. Step 6: Final answer
    x = 572,484.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.