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Finding the Third Proportional to 218,080.13 and 476,664.75

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Solution

The third proportional to 218,080.13 and 476,664.75 is: 1,041,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,080.13 : 476,664.75 = 476,664.75 : x
  2. Step 2: Convert to fraction form
    218,080.13/476,664.75 = 476,664.75/x
  3. Step 3: Cross multiply
    218,080.13x = 476,664.75 × 476,664.75
  4. Step 4: Simplify right side
    218,080.13x = 227,209,283,892.56
  5. Step 5: Solve for x
    x = 227,209,283,892.56/218,080.13
  6. Step 6: Final answer
    x = 1,041,861.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.