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Finding the Third Proportional to 398,385 and 600,912

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Solution

The third proportional to 398,385 and 600,912 is: 906,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,385 : 600,912 = 600,912 : x
  2. Step 2: Convert to fraction form
    398,385/600,912 = 600,912/x
  3. Step 3: Cross multiply
    398,385x = 600,912 × 600,912
  4. Step 4: Simplify right side
    398,385x = 361,095,231,744
  5. Step 5: Solve for x
    x = 361,095,231,744/398,385
  6. Step 6: Final answer
    x = 906,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.