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Finding the Third Proportional to 579,340 and 848,270

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Solution

The third proportional to 579,340 and 848,270 is: 1,242,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,340 : 848,270 = 848,270 : x
  2. Step 2: Convert to fraction form
    579,340/848,270 = 848,270/x
  3. Step 3: Cross multiply
    579,340x = 848,270 × 848,270
  4. Step 4: Simplify right side
    579,340x = 719,561,992,900
  5. Step 5: Solve for x
    x = 719,561,992,900/579,340
  6. Step 6: Final answer
    x = 1,242,037.48

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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.