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Finding the Third Proportional to 353,133 and 764,997.75

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Solution

The third proportional to 353,133 and 764,997.75 is: 1,657,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,133 : 764,997.75 = 764,997.75 : x
  2. Step 2: Convert to fraction form
    353,133/764,997.75 = 764,997.75/x
  3. Step 3: Cross multiply
    353,133x = 764,997.75 × 764,997.75
  4. Step 4: Simplify right side
    353,133x = 585,221,557,505.06
  5. Step 5: Solve for x
    x = 585,221,557,505.06/353,133
  6. Step 6: Final answer
    x = 1,657,227.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.