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Finding the Third Proportional to 297,967 and 382,575

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Solution

The third proportional to 297,967 and 382,575 is: 491,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967 : 382,575 = 382,575 : x
  2. Step 2: Convert to fraction form
    297,967/382,575 = 382,575/x
  3. Step 3: Cross multiply
    297,967x = 382,575 × 382,575
  4. Step 4: Simplify right side
    297,967x = 146,363,630,625
  5. Step 5: Solve for x
    x = 146,363,630,625/297,967
  6. Step 6: Final answer
    x = 491,207.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.