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Finding the Third Proportional to 236,538 and 547,029

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Solution

The third proportional to 236,538 and 547,029 is: 1,265,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,538 : 547,029 = 547,029 : x
  2. Step 2: Convert to fraction form
    236,538/547,029 = 547,029/x
  3. Step 3: Cross multiply
    236,538x = 547,029 × 547,029
  4. Step 4: Simplify right side
    236,538x = 299,240,726,841
  5. Step 5: Solve for x
    x = 299,240,726,841/236,538
  6. Step 6: Final answer
    x = 1,265,085.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.