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Finding the Third Proportional to 236,063 and 511,504

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Solution

The third proportional to 236,063 and 511,504 is: 1,108,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,063 : 511,504 = 511,504 : x
  2. Step 2: Convert to fraction form
    236,063/511,504 = 511,504/x
  3. Step 3: Cross multiply
    236,063x = 511,504 × 511,504
  4. Step 4: Simplify right side
    236,063x = 261,636,342,016
  5. Step 5: Solve for x
    x = 261,636,342,016/236,063
  6. Step 6: Final answer
    x = 1,108,332.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.