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Finding the Third Proportional to 349,274 and 763,933

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Solution

The third proportional to 349,274 and 763,933 is: 1,670,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,274 : 763,933 = 763,933 : x
  2. Step 2: Convert to fraction form
    349,274/763,933 = 763,933/x
  3. Step 3: Cross multiply
    349,274x = 763,933 × 763,933
  4. Step 4: Simplify right side
    349,274x = 583,593,628,489
  5. Step 5: Solve for x
    x = 583,593,628,489/349,274
  6. Step 6: Final answer
    x = 1,670,876.24

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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.