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Finding the Third Proportional to 341,234 and 797,165

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Solution

The third proportional to 341,234 and 797,165 is: 1,862,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,234 : 797,165 = 797,165 : x
  2. Step 2: Convert to fraction form
    341,234/797,165 = 797,165/x
  3. Step 3: Cross multiply
    341,234x = 797,165 × 797,165
  4. Step 4: Simplify right side
    341,234x = 635,472,037,225
  5. Step 5: Solve for x
    x = 635,472,037,225/341,234
  6. Step 6: Final answer
    x = 1,862,276.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.