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Finding the Third Proportional to 398,928 and 853,893

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Solution

The third proportional to 398,928 and 853,893 is: 1,827,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,928 : 853,893 = 853,893 : x
  2. Step 2: Convert to fraction form
    398,928/853,893 = 853,893/x
  3. Step 3: Cross multiply
    398,928x = 853,893 × 853,893
  4. Step 4: Simplify right side
    398,928x = 729,133,255,449
  5. Step 5: Solve for x
    x = 729,133,255,449/398,928
  6. Step 6: Final answer
    x = 1,827,731.46

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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.