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Finding the Third Proportional to 214,924 and 331,407

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Solution

The third proportional to 214,924 and 331,407 is: 511,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,924 : 331,407 = 331,407 : x
  2. Step 2: Convert to fraction form
    214,924/331,407 = 331,407/x
  3. Step 3: Cross multiply
    214,924x = 331,407 × 331,407
  4. Step 4: Simplify right side
    214,924x = 109,830,599,649
  5. Step 5: Solve for x
    x = 109,830,599,649/214,924
  6. Step 6: Final answer
    x = 511,020.64

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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.