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Finding the Third Proportional to 579,344 and 848,274

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Solution

The third proportional to 579,344 and 848,274 is: 1,242,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,344 : 848,274 = 848,274 : x
  2. Step 2: Convert to fraction form
    579,344/848,274 = 848,274/x
  3. Step 3: Cross multiply
    579,344x = 848,274 × 848,274
  4. Step 4: Simplify right side
    579,344x = 719,568,779,076
  5. Step 5: Solve for x
    x = 719,568,779,076/579,344
  6. Step 6: Final answer
    x = 1,242,040.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.