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Finding the Third Proportional to 253,876.50 and 547,427.25

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Solution

The third proportional to 253,876.50 and 547,427.25 is: 1,180,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,876.50 : 547,427.25 = 547,427.25 : x
  2. Step 2: Convert to fraction form
    253,876.50/547,427.25 = 547,427.25/x
  3. Step 3: Cross multiply
    253,876.50x = 547,427.25 × 547,427.25
  4. Step 4: Simplify right side
    253,876.50x = 299,676,594,042.56
  5. Step 5: Solve for x
    x = 299,676,594,042.56/253,876.50
  6. Step 6: Final answer
    x = 1,180,403.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.