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Finding the Third Proportional to 343,824.75 and 544,311

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Solution

The third proportional to 343,824.75 and 544,311 is: 861,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824.75 : 544,311 = 544,311 : x
  2. Step 2: Convert to fraction form
    343,824.75/544,311 = 544,311/x
  3. Step 3: Cross multiply
    343,824.75x = 544,311 × 544,311
  4. Step 4: Simplify right side
    343,824.75x = 296,274,464,721
  5. Step 5: Solve for x
    x = 296,274,464,721/343,824.75
  6. Step 6: Final answer
    x = 861,701.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.