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Finding the Third Proportional to 311,104 and 482,624

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Solution

The third proportional to 311,104 and 482,624 is: 748,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,104 : 482,624 = 482,624 : x
  2. Step 2: Convert to fraction form
    311,104/482,624 = 482,624/x
  3. Step 3: Cross multiply
    311,104x = 482,624 × 482,624
  4. Step 4: Simplify right side
    311,104x = 232,925,925,376
  5. Step 5: Solve for x
    x = 232,925,925,376/311,104
  6. Step 6: Final answer
    x = 748,707.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.