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Finding the Third Proportional to 236,023 and 511,430

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Solution

The third proportional to 236,023 and 511,430 is: 1,108,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,023 : 511,430 = 511,430 : x
  2. Step 2: Convert to fraction form
    236,023/511,430 = 511,430/x
  3. Step 3: Cross multiply
    236,023x = 511,430 × 511,430
  4. Step 4: Simplify right side
    236,023x = 261,560,644,900
  5. Step 5: Solve for x
    x = 261,560,644,900/236,023
  6. Step 6: Final answer
    x = 1,108,199.81

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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.