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Finding the Third Proportional to 336,171 and 723,315

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Solution

The third proportional to 336,171 and 723,315 is: 1,556,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,171 : 723,315 = 723,315 : x
  2. Step 2: Convert to fraction form
    336,171/723,315 = 723,315/x
  3. Step 3: Cross multiply
    336,171x = 723,315 × 723,315
  4. Step 4: Simplify right side
    336,171x = 523,184,589,225
  5. Step 5: Solve for x
    x = 523,184,589,225/336,171
  6. Step 6: Final answer
    x = 1,556,304.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.