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Finding the Third Proportional to 349,434 and 764,295

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Solution

The third proportional to 349,434 and 764,295 is: 1,671,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,434 : 764,295 = 764,295 : x
  2. Step 2: Convert to fraction form
    349,434/764,295 = 764,295/x
  3. Step 3: Cross multiply
    349,434x = 764,295 × 764,295
  4. Step 4: Simplify right side
    349,434x = 584,146,847,025
  5. Step 5: Solve for x
    x = 584,146,847,025/349,434
  6. Step 6: Final answer
    x = 1,671,694.36

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Why These Related Problems?

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