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Finding the Third Proportional to 368,170 and 794,432

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Solution

The third proportional to 368,170 and 794,432 is: 1,714,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,170 : 794,432 = 794,432 : x
  2. Step 2: Convert to fraction form
    368,170/794,432 = 794,432/x
  3. Step 3: Cross multiply
    368,170x = 794,432 × 794,432
  4. Step 4: Simplify right side
    368,170x = 631,122,202,624
  5. Step 5: Solve for x
    x = 631,122,202,624/368,170
  6. Step 6: Final answer
    x = 1,714,214.09

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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.