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Finding the Third Proportional to 311,215.50 and 480,636

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Solution

The third proportional to 311,215.50 and 480,636 is: 742,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,215.50 : 480,636 = 480,636 : x
  2. Step 2: Convert to fraction form
    311,215.50/480,636 = 480,636/x
  3. Step 3: Cross multiply
    311,215.50x = 480,636 × 480,636
  4. Step 4: Simplify right side
    311,215.50x = 231,010,964,496
  5. Step 5: Solve for x
    x = 231,010,964,496/311,215.50
  6. Step 6: Final answer
    x = 742,286.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.