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Finding the Third Proportional to 263,392 and 558,131

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Solution

The third proportional to 263,392 and 558,131 is: 1,182,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,392 : 558,131 = 558,131 : x
  2. Step 2: Convert to fraction form
    263,392/558,131 = 558,131/x
  3. Step 3: Cross multiply
    263,392x = 558,131 × 558,131
  4. Step 4: Simplify right side
    263,392x = 311,510,213,161
  5. Step 5: Solve for x
    x = 311,510,213,161/263,392
  6. Step 6: Final answer
    x = 1,182,686.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.