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Finding the Third Proportional to 361,278 and 794,061

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Solution

The third proportional to 361,278 and 794,061 is: 1,745,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278 : 794,061 = 794,061 : x
  2. Step 2: Convert to fraction form
    361,278/794,061 = 794,061/x
  3. Step 3: Cross multiply
    361,278x = 794,061 × 794,061
  4. Step 4: Simplify right side
    361,278x = 630,532,871,721
  5. Step 5: Solve for x
    x = 630,532,871,721/361,278
  6. Step 6: Final answer
    x = 1,745,284.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.