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Finding the Third Proportional to 353,170.13 and 764,619.75

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Solution

The third proportional to 353,170.13 and 764,619.75 is: 1,655,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,170.13 : 764,619.75 = 764,619.75 : x
  2. Step 2: Convert to fraction form
    353,170.13/764,619.75 = 764,619.75/x
  3. Step 3: Cross multiply
    353,170.13x = 764,619.75 × 764,619.75
  4. Step 4: Simplify right side
    353,170.13x = 584,643,362,090.06
  5. Step 5: Solve for x
    x = 584,643,362,090.06/353,170.13
  6. Step 6: Final answer
    x = 1,655,415.68

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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.