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Finding the Third Proportional to 241,536 and 354,918

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Solution

The third proportional to 241,536 and 354,918 is: 521,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,536 : 354,918 = 354,918 : x
  2. Step 2: Convert to fraction form
    241,536/354,918 = 354,918/x
  3. Step 3: Cross multiply
    241,536x = 354,918 × 354,918
  4. Step 4: Simplify right side
    241,536x = 125,966,786,724
  5. Step 5: Solve for x
    x = 125,966,786,724/241,536
  6. Step 6: Final answer
    x = 521,523.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.