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Finding the Third Proportional to 258,514.03 and 558,535.50

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Solution

The third proportional to 258,514.03 and 558,535.50 is: 1,206,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,514.03 : 558,535.50 = 558,535.50 : x
  2. Step 2: Convert to fraction form
    258,514.03/558,535.50 = 558,535.50/x
  3. Step 3: Cross multiply
    258,514.03x = 558,535.50 × 558,535.50
  4. Step 4: Simplify right side
    258,514.03x = 311,961,904,760.25
  5. Step 5: Solve for x
    x = 311,961,904,760.25/258,514.03
  6. Step 6: Final answer
    x = 1,206,750.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.