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Finding the Third Proportional to 284,676 and 616,104

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Solution

The third proportional to 284,676 and 616,104 is: 1,333,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,676 : 616,104 = 616,104 : x
  2. Step 2: Convert to fraction form
    284,676/616,104 = 616,104/x
  3. Step 3: Cross multiply
    284,676x = 616,104 × 616,104
  4. Step 4: Simplify right side
    284,676x = 379,584,138,816
  5. Step 5: Solve for x
    x = 379,584,138,816/284,676
  6. Step 6: Final answer
    x = 1,333,390.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.