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Finding the Third Proportional to 263,408 and 558,162

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Solution

The third proportional to 263,408 and 558,162 is: 1,182,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,408 : 558,162 = 558,162 : x
  2. Step 2: Convert to fraction form
    263,408/558,162 = 558,162/x
  3. Step 3: Cross multiply
    263,408x = 558,162 × 558,162
  4. Step 4: Simplify right side
    263,408x = 311,544,818,244
  5. Step 5: Solve for x
    x = 311,544,818,244/263,408
  6. Step 6: Final answer
    x = 1,182,746.23

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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.