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Finding the Third Proportional to 254,045 and 541,834

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Solution

The third proportional to 254,045 and 541,834 is: 1,155,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,045 : 541,834 = 541,834 : x
  2. Step 2: Convert to fraction form
    254,045/541,834 = 541,834/x
  3. Step 3: Cross multiply
    254,045x = 541,834 × 541,834
  4. Step 4: Simplify right side
    254,045x = 293,584,083,556
  5. Step 5: Solve for x
    x = 293,584,083,556/254,045
  6. Step 6: Final answer
    x = 1,155,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.