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Finding the Third Proportional to 297,958.50 and 382,563

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Solution

The third proportional to 297,958.50 and 382,563 is: 491,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,958.50 : 382,563 = 382,563 : x
  2. Step 2: Convert to fraction form
    297,958.50/382,563 = 382,563/x
  3. Step 3: Cross multiply
    297,958.50x = 382,563 × 382,563
  4. Step 4: Simplify right side
    297,958.50x = 146,354,448,969
  5. Step 5: Solve for x
    x = 146,354,448,969/297,958.50
  6. Step 6: Final answer
    x = 491,190.72

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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.