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Finding the Third Proportional to 236,024 and 511,432

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Solution

The third proportional to 236,024 and 511,432 is: 1,108,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,024 : 511,432 = 511,432 : x
  2. Step 2: Convert to fraction form
    236,024/511,432 = 511,432/x
  3. Step 3: Cross multiply
    236,024x = 511,432 × 511,432
  4. Step 4: Simplify right side
    236,024x = 261,562,690,624
  5. Step 5: Solve for x
    x = 261,562,690,624/236,024
  6. Step 6: Final answer
    x = 1,108,203.79

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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.