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Finding the Third Proportional to 376,035 and 820,668

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Solution

The third proportional to 376,035 and 820,668 is: 1,791,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,035 : 820,668 = 820,668 : x
  2. Step 2: Convert to fraction form
    376,035/820,668 = 820,668/x
  3. Step 3: Cross multiply
    376,035x = 820,668 × 820,668
  4. Step 4: Simplify right side
    376,035x = 673,495,966,224
  5. Step 5: Solve for x
    x = 673,495,966,224/376,035
  6. Step 6: Final answer
    x = 1,791,045.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.