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Finding the Third Proportional to 210,493.13 and 461,349.75

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Solution

The third proportional to 210,493.13 and 461,349.75 is: 1,011,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,493.13 : 461,349.75 = 461,349.75 : x
  2. Step 2: Convert to fraction form
    210,493.13/461,349.75 = 461,349.75/x
  3. Step 3: Cross multiply
    210,493.13x = 461,349.75 × 461,349.75
  4. Step 4: Simplify right side
    210,493.13x = 212,843,591,825.06
  5. Step 5: Solve for x
    x = 212,843,591,825.06/210,493.13
  6. Step 6: Final answer
    x = 1,011,166.48

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