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Finding the Third Proportional to 263,340 and 558,054

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Solution

The third proportional to 263,340 and 558,054 is: 1,182,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,340 : 558,054 = 558,054 : x
  2. Step 2: Convert to fraction form
    263,340/558,054 = 558,054/x
  3. Step 3: Cross multiply
    263,340x = 558,054 × 558,054
  4. Step 4: Simplify right side
    263,340x = 311,424,266,916
  5. Step 5: Solve for x
    x = 311,424,266,916/263,340
  6. Step 6: Final answer
    x = 1,182,593.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.