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Finding the Third Proportional to 540,801 and 848,324

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Solution

The third proportional to 540,801 and 848,324 is: 1,330,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,801 : 848,324 = 848,324 : x
  2. Step 2: Convert to fraction form
    540,801/848,324 = 848,324/x
  3. Step 3: Cross multiply
    540,801x = 848,324 × 848,324
  4. Step 4: Simplify right side
    540,801x = 719,653,608,976
  5. Step 5: Solve for x
    x = 719,653,608,976/540,801
  6. Step 6: Final answer
    x = 1,330,717.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.