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Finding the Third Proportional to 393,032 and 842,144

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Solution

The third proportional to 393,032 and 842,144 is: 1,804,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,032 : 842,144 = 842,144 : x
  2. Step 2: Convert to fraction form
    393,032/842,144 = 842,144/x
  3. Step 3: Cross multiply
    393,032x = 842,144 × 842,144
  4. Step 4: Simplify right side
    393,032x = 709,206,516,736
  5. Step 5: Solve for x
    x = 709,206,516,736/393,032
  6. Step 6: Final answer
    x = 1,804,449.81

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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.