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Finding the Third Proportional to 413,325 and 844,119

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Solution

The third proportional to 413,325 and 844,119 is: 1,723,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,325 : 844,119 = 844,119 : x
  2. Step 2: Convert to fraction form
    413,325/844,119 = 844,119/x
  3. Step 3: Cross multiply
    413,325x = 844,119 × 844,119
  4. Step 4: Simplify right side
    413,325x = 712,536,886,161
  5. Step 5: Solve for x
    x = 712,536,886,161/413,325
  6. Step 6: Final answer
    x = 1,723,914.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.