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Finding the Third Proportional to 373,876 and 565,274

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Solution

The third proportional to 373,876 and 565,274 is: 854,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,876 : 565,274 = 565,274 : x
  2. Step 2: Convert to fraction form
    373,876/565,274 = 565,274/x
  3. Step 3: Cross multiply
    373,876x = 565,274 × 565,274
  4. Step 4: Simplify right side
    373,876x = 319,534,695,076
  5. Step 5: Solve for x
    x = 319,534,695,076/373,876
  6. Step 6: Final answer
    x = 854,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.