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Finding the Third Proportional to 240,624 and 336,396.38

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Solution

The third proportional to 240,624 and 336,396.38 is: 470,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,624 : 336,396.38 = 336,396.38 : x
  2. Step 2: Convert to fraction form
    240,624/336,396.38 = 336,396.38/x
  3. Step 3: Cross multiply
    240,624x = 336,396.38 × 336,396.38
  4. Step 4: Simplify right side
    240,624x = 113,162,521,113.14
  5. Step 5: Solve for x
    x = 113,162,521,113.14/240,624
  6. Step 6: Final answer
    x = 470,287.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.