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Finding the Third Proportional to 236,398 and 506,016

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Solution

The third proportional to 236,398 and 506,016 is: 1,083,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,398 : 506,016 = 506,016 : x
  2. Step 2: Convert to fraction form
    236,398/506,016 = 506,016/x
  3. Step 3: Cross multiply
    236,398x = 506,016 × 506,016
  4. Step 4: Simplify right side
    236,398x = 256,052,192,256
  5. Step 5: Solve for x
    x = 256,052,192,256/236,398
  6. Step 6: Final answer
    x = 1,083,140.26

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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.