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Finding the Third Proportional to 194,862 and 417,912

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Solution

The third proportional to 194,862 and 417,912 is: 896,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,862 : 417,912 = 417,912 : x
  2. Step 2: Convert to fraction form
    194,862/417,912 = 417,912/x
  3. Step 3: Cross multiply
    194,862x = 417,912 × 417,912
  4. Step 4: Simplify right side
    194,862x = 174,650,439,744
  5. Step 5: Solve for x
    x = 174,650,439,744/194,862
  6. Step 6: Final answer
    x = 896,277.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.