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Finding the Third Proportional to 236,032 and 509,648

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Solution

The third proportional to 236,032 and 509,648 is: 1,100,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,032 : 509,648 = 509,648 : x
  2. Step 2: Convert to fraction form
    236,032/509,648 = 509,648/x
  3. Step 3: Cross multiply
    236,032x = 509,648 × 509,648
  4. Step 4: Simplify right side
    236,032x = 259,741,083,904
  5. Step 5: Solve for x
    x = 259,741,083,904/236,032
  6. Step 6: Final answer
    x = 1,100,448.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.