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Finding the Third Proportional to 368,171 and 794,434

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Solution

The third proportional to 368,171 and 794,434 is: 1,714,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,171 : 794,434 = 794,434 : x
  2. Step 2: Convert to fraction form
    368,171/794,434 = 794,434/x
  3. Step 3: Cross multiply
    368,171x = 794,434 × 794,434
  4. Step 4: Simplify right side
    368,171x = 631,125,380,356
  5. Step 5: Solve for x
    x = 631,125,380,356/368,171
  6. Step 6: Final answer
    x = 1,714,218.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.