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Finding the Third Proportional to 254,044 and 541,828

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Solution

The third proportional to 254,044 and 541,828 is: 1,155,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,044 : 541,828 = 541,828 : x
  2. Step 2: Convert to fraction form
    254,044/541,828 = 541,828/x
  3. Step 3: Cross multiply
    254,044x = 541,828 × 541,828
  4. Step 4: Simplify right side
    254,044x = 293,577,581,584
  5. Step 5: Solve for x
    x = 293,577,581,584/254,044
  6. Step 6: Final answer
    x = 1,155,617.06

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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.