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Finding the Third Proportional to 268,174 and 558,596

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Solution

The third proportional to 268,174 and 558,596 is: 1,163,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,174 : 558,596 = 558,596 : x
  2. Step 2: Convert to fraction form
    268,174/558,596 = 558,596/x
  3. Step 3: Cross multiply
    268,174x = 558,596 × 558,596
  4. Step 4: Simplify right side
    268,174x = 312,029,491,216
  5. Step 5: Solve for x
    x = 312,029,491,216/268,174
  6. Step 6: Final answer
    x = 1,163,533.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.