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Finding the Third Proportional to 336,974 and 741,340

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Solution

The third proportional to 336,974 and 741,340 is: 1,630,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,974 : 741,340 = 741,340 : x
  2. Step 2: Convert to fraction form
    336,974/741,340 = 741,340/x
  3. Step 3: Cross multiply
    336,974x = 741,340 × 741,340
  4. Step 4: Simplify right side
    336,974x = 549,584,995,600
  5. Step 5: Solve for x
    x = 549,584,995,600/336,974
  6. Step 6: Final answer
    x = 1,630,941.84

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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.