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Finding the Third Proportional to 272,876 and 574,029

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Solution

The third proportional to 272,876 and 574,029 is: 1,207,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,876 : 574,029 = 574,029 : x
  2. Step 2: Convert to fraction form
    272,876/574,029 = 574,029/x
  3. Step 3: Cross multiply
    272,876x = 574,029 × 574,029
  4. Step 4: Simplify right side
    272,876x = 329,509,292,841
  5. Step 5: Solve for x
    x = 329,509,292,841/272,876
  6. Step 6: Final answer
    x = 1,207,542.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.