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Finding the Third Proportional to 797.34 and 1,670.63

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Solution

The third proportional to 797.34 and 1,670.63 is: 3,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,670.63 = 1,670.63 : x
  2. Step 2: Convert to fraction form
    797.34/1,670.63 = 1,670.63/x
  3. Step 3: Cross multiply
    797.34x = 1,670.63 × 1,670.63
  4. Step 4: Simplify right side
    797.34x = 2,790,987.89
  5. Step 5: Solve for x
    x = 2,790,987.89/797.34
  6. Step 6: Final answer
    x = 3,500.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.