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Finding the Third Proportional to 311,769 and 483,705

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Solution

The third proportional to 311,769 and 483,705 is: 750,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,769 : 483,705 = 483,705 : x
  2. Step 2: Convert to fraction form
    311,769/483,705 = 483,705/x
  3. Step 3: Cross multiply
    311,769x = 483,705 × 483,705
  4. Step 4: Simplify right side
    311,769x = 233,970,527,025
  5. Step 5: Solve for x
    x = 233,970,527,025/311,769
  6. Step 6: Final answer
    x = 750,461.17

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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.