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Finding the Third Proportional to 259,826 and 558,329

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Solution

The third proportional to 259,826 and 558,329 is: 1,199,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,826 : 558,329 = 558,329 : x
  2. Step 2: Convert to fraction form
    259,826/558,329 = 558,329/x
  3. Step 3: Cross multiply
    259,826x = 558,329 × 558,329
  4. Step 4: Simplify right side
    259,826x = 311,731,272,241
  5. Step 5: Solve for x
    x = 311,731,272,241/259,826
  6. Step 6: Final answer
    x = 1,199,769.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.