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Finding the Third Proportional to 228,956 and 336,575

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Solution

The third proportional to 228,956 and 336,575 is: 494,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,956 : 336,575 = 336,575 : x
  2. Step 2: Convert to fraction form
    228,956/336,575 = 336,575/x
  3. Step 3: Cross multiply
    228,956x = 336,575 × 336,575
  4. Step 4: Simplify right side
    228,956x = 113,282,730,625
  5. Step 5: Solve for x
    x = 113,282,730,625/228,956
  6. Step 6: Final answer
    x = 494,779.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.