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Finding the Third Proportional to 350,392 and 541,144

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Solution

The third proportional to 350,392 and 541,144 is: 835,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,392 : 541,144 = 541,144 : x
  2. Step 2: Convert to fraction form
    350,392/541,144 = 541,144/x
  3. Step 3: Cross multiply
    350,392x = 541,144 × 541,144
  4. Step 4: Simplify right side
    350,392x = 292,836,828,736
  5. Step 5: Solve for x
    x = 292,836,828,736/350,392
  6. Step 6: Final answer
    x = 835,740.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.