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Finding the Third Proportional to 259,402.50 and 558,828

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Solution

The third proportional to 259,402.50 and 558,828 is: 1,203,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402.50 : 558,828 = 558,828 : x
  2. Step 2: Convert to fraction form
    259,402.50/558,828 = 558,828/x
  3. Step 3: Cross multiply
    259,402.50x = 558,828 × 558,828
  4. Step 4: Simplify right side
    259,402.50x = 312,288,733,584
  5. Step 5: Solve for x
    x = 312,288,733,584/259,402.50
  6. Step 6: Final answer
    x = 1,203,877.12

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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.