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Finding the Third Proportional to 384,235 and 834,916

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Solution

The third proportional to 384,235 and 834,916 is: 1,814,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,235 : 834,916 = 834,916 : x
  2. Step 2: Convert to fraction form
    384,235/834,916 = 834,916/x
  3. Step 3: Cross multiply
    384,235x = 834,916 × 834,916
  4. Step 4: Simplify right side
    384,235x = 697,084,727,056
  5. Step 5: Solve for x
    x = 697,084,727,056/384,235
  6. Step 6: Final answer
    x = 1,814,214.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.