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Finding the Third Proportional to 236,055 and 511,488

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Solution

The third proportional to 236,055 and 511,488 is: 1,108,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,055 : 511,488 = 511,488 : x
  2. Step 2: Convert to fraction form
    236,055/511,488 = 511,488/x
  3. Step 3: Cross multiply
    236,055x = 511,488 × 511,488
  4. Step 4: Simplify right side
    236,055x = 261,619,974,144
  5. Step 5: Solve for x
    x = 261,619,974,144/236,055
  6. Step 6: Final answer
    x = 1,108,300.92

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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.