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Finding the Third Proportional to 376,680 and 568,416

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Solution

The third proportional to 376,680 and 568,416 is: 857,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,680 : 568,416 = 568,416 : x
  2. Step 2: Convert to fraction form
    376,680/568,416 = 568,416/x
  3. Step 3: Cross multiply
    376,680x = 568,416 × 568,416
  4. Step 4: Simplify right side
    376,680x = 323,096,749,056
  5. Step 5: Solve for x
    x = 323,096,749,056/376,680
  6. Step 6: Final answer
    x = 857,748.62

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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.