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Finding the Third Proportional to 311,218 and 453,219

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Solution

The third proportional to 311,218 and 453,219 is: 660,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,218 : 453,219 = 453,219 : x
  2. Step 2: Convert to fraction form
    311,218/453,219 = 453,219/x
  3. Step 3: Cross multiply
    311,218x = 453,219 × 453,219
  4. Step 4: Simplify right side
    311,218x = 205,407,461,961
  5. Step 5: Solve for x
    x = 205,407,461,961/311,218
  6. Step 6: Final answer
    x = 660,011.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.