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Finding the Third Proportional to 350,716 and 764,612

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Solution

The third proportional to 350,716 and 764,612 is: 1,666,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,716 : 764,612 = 764,612 : x
  2. Step 2: Convert to fraction form
    350,716/764,612 = 764,612/x
  3. Step 3: Cross multiply
    350,716x = 764,612 × 764,612
  4. Step 4: Simplify right side
    350,716x = 584,631,510,544
  5. Step 5: Solve for x
    x = 584,631,510,544/350,716
  6. Step 6: Final answer
    x = 1,666,965.61

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Why These Related Problems?

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