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Finding the Third Proportional to 263,995 and 540,292

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Solution

The third proportional to 263,995 and 540,292 is: 1,105,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,995 : 540,292 = 540,292 : x
  2. Step 2: Convert to fraction form
    263,995/540,292 = 540,292/x
  3. Step 3: Cross multiply
    263,995x = 540,292 × 540,292
  4. Step 4: Simplify right side
    263,995x = 291,915,445,264
  5. Step 5: Solve for x
    x = 291,915,445,264/263,995
  6. Step 6: Final answer
    x = 1,105,761.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.