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Finding the Third Proportional to 353,104 and 540,253

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Solution

The third proportional to 353,104 and 540,253 is: 826,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,104 : 540,253 = 540,253 : x
  2. Step 2: Convert to fraction form
    353,104/540,253 = 540,253/x
  3. Step 3: Cross multiply
    353,104x = 540,253 × 540,253
  4. Step 4: Simplify right side
    353,104x = 291,873,304,009
  5. Step 5: Solve for x
    x = 291,873,304,009/353,104
  6. Step 6: Final answer
    x = 826,593.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.