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Finding the Third Proportional to 235,842 and 511,548

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Solution

The third proportional to 235,842 and 511,548 is: 1,109,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,842 : 511,548 = 511,548 : x
  2. Step 2: Convert to fraction form
    235,842/511,548 = 511,548/x
  3. Step 3: Cross multiply
    235,842x = 511,548 × 511,548
  4. Step 4: Simplify right side
    235,842x = 261,681,356,304
  5. Step 5: Solve for x
    x = 261,681,356,304/235,842
  6. Step 6: Final answer
    x = 1,109,562.15

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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.