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Finding the Third Proportional to 219,550.50 and 456,327

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Solution

The third proportional to 219,550.50 and 456,327 is: 948,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,550.50 : 456,327 = 456,327 : x
  2. Step 2: Convert to fraction form
    219,550.50/456,327 = 456,327/x
  3. Step 3: Cross multiply
    219,550.50x = 456,327 × 456,327
  4. Step 4: Simplify right side
    219,550.50x = 208,234,330,929
  5. Step 5: Solve for x
    x = 208,234,330,929/219,550.50
  6. Step 6: Final answer
    x = 948,457.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.