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Finding the Third Proportional to 603,676 and 816,940

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Solution

The third proportional to 603,676 and 816,940 is: 1,105,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,676 : 816,940 = 816,940 : x
  2. Step 2: Convert to fraction form
    603,676/816,940 = 816,940/x
  3. Step 3: Cross multiply
    603,676x = 816,940 × 816,940
  4. Step 4: Simplify right side
    603,676x = 667,390,963,600
  5. Step 5: Solve for x
    x = 667,390,963,600/603,676
  6. Step 6: Final answer
    x = 1,105,544.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.