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Finding the Third Proportional to 259,776 and 558,371.25

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Solution

The third proportional to 259,776 and 558,371.25 is: 1,200,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,776 : 558,371.25 = 558,371.25 : x
  2. Step 2: Convert to fraction form
    259,776/558,371.25 = 558,371.25/x
  3. Step 3: Cross multiply
    259,776x = 558,371.25 × 558,371.25
  4. Step 4: Simplify right side
    259,776x = 311,778,452,826.56
  5. Step 5: Solve for x
    x = 311,778,452,826.56/259,776
  6. Step 6: Final answer
    x = 1,200,181.90

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