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Finding the Third Proportional to 236,567 and 542,937

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Solution

The third proportional to 236,567 and 542,937 is: 1,246,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,567 : 542,937 = 542,937 : x
  2. Step 2: Convert to fraction form
    236,567/542,937 = 542,937/x
  3. Step 3: Cross multiply
    236,567x = 542,937 × 542,937
  4. Step 4: Simplify right side
    236,567x = 294,780,585,969
  5. Step 5: Solve for x
    x = 294,780,585,969/236,567
  6. Step 6: Final answer
    x = 1,246,076.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.