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Finding the Third Proportional to 259,825 and 558,328

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Solution

The third proportional to 259,825 and 558,328 is: 1,199,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,825 : 558,328 = 558,328 : x
  2. Step 2: Convert to fraction form
    259,825/558,328 = 558,328/x
  3. Step 3: Cross multiply
    259,825x = 558,328 × 558,328
  4. Step 4: Simplify right side
    259,825x = 311,730,155,584
  5. Step 5: Solve for x
    x = 311,730,155,584/259,825
  6. Step 6: Final answer
    x = 1,199,769.67

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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.