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Finding the Third Proportional to 450,515 and 800,869

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Solution

The third proportional to 450,515 and 800,869 is: 1,423,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,515 : 800,869 = 800,869 : x
  2. Step 2: Convert to fraction form
    450,515/800,869 = 800,869/x
  3. Step 3: Cross multiply
    450,515x = 800,869 × 800,869
  4. Step 4: Simplify right side
    450,515x = 641,391,155,161
  5. Step 5: Solve for x
    x = 641,391,155,161/450,515
  6. Step 6: Final answer
    x = 1,423,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.