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Finding the Third Proportional to 241,478 and 524,443

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Solution

The third proportional to 241,478 and 524,443 is: 1,138,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,478 : 524,443 = 524,443 : x
  2. Step 2: Convert to fraction form
    241,478/524,443 = 524,443/x
  3. Step 3: Cross multiply
    241,478x = 524,443 × 524,443
  4. Step 4: Simplify right side
    241,478x = 275,040,460,249
  5. Step 5: Solve for x
    x = 275,040,460,249/241,478
  6. Step 6: Final answer
    x = 1,138,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.