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Finding the Third Proportional to 297,476 and 446,876

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Solution

The third proportional to 297,476 and 446,876 is: 671,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,476 : 446,876 = 446,876 : x
  2. Step 2: Convert to fraction form
    297,476/446,876 = 446,876/x
  3. Step 3: Cross multiply
    297,476x = 446,876 × 446,876
  4. Step 4: Simplify right side
    297,476x = 199,698,159,376
  5. Step 5: Solve for x
    x = 199,698,159,376/297,476
  6. Step 6: Final answer
    x = 671,308.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.