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Finding the Third Proportional to 212,080.13 and 461,476.13

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Solution

The third proportional to 212,080.13 and 461,476.13 is: 1,004,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,080.13 : 461,476.13 = 461,476.13 : x
  2. Step 2: Convert to fraction form
    212,080.13/461,476.13 = 461,476.13/x
  3. Step 3: Cross multiply
    212,080.13x = 461,476.13 × 461,476.13
  4. Step 4: Simplify right side
    212,080.13x = 212,960,213,945.02
  5. Step 5: Solve for x
    x = 212,960,213,945.02/212,080.13
  6. Step 6: Final answer
    x = 1,004,149.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.