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Finding the Third Proportional to 263,424 and 558,196

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Solution

The third proportional to 263,424 and 558,196 is: 1,182,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,424 : 558,196 = 558,196 : x
  2. Step 2: Convert to fraction form
    263,424/558,196 = 558,196/x
  3. Step 3: Cross multiply
    263,424x = 558,196 × 558,196
  4. Step 4: Simplify right side
    263,424x = 311,582,774,416
  5. Step 5: Solve for x
    x = 311,582,774,416/263,424
  6. Step 6: Final answer
    x = 1,182,818.48

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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.