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Finding the Third Proportional to 336,504 and 741,288

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Solution

The third proportional to 336,504 and 741,288 is: 1,632,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,504 : 741,288 = 741,288 : x
  2. Step 2: Convert to fraction form
    336,504/741,288 = 741,288/x
  3. Step 3: Cross multiply
    336,504x = 741,288 × 741,288
  4. Step 4: Simplify right side
    336,504x = 549,507,898,944
  5. Step 5: Solve for x
    x = 549,507,898,944/336,504
  6. Step 6: Final answer
    x = 1,632,990.69

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Why These Related Problems?

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