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Finding the Third Proportional to 261,508.50 and 558,717.75

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Solution

The third proportional to 261,508.50 and 558,717.75 is: 1,193,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,508.50 : 558,717.75 = 558,717.75 : x
  2. Step 2: Convert to fraction form
    261,508.50/558,717.75 = 558,717.75/x
  3. Step 3: Cross multiply
    261,508.50x = 558,717.75 × 558,717.75
  4. Step 4: Simplify right side
    261,508.50x = 312,165,524,165.06
  5. Step 5: Solve for x
    x = 312,165,524,165.06/261,508.50
  6. Step 6: Final answer
    x = 1,193,710.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.