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Finding the Third Proportional to 545,998.88 and 826,635.75

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Solution

The third proportional to 545,998.88 and 826,635.75 is: 1,251,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,998.88 : 826,635.75 = 826,635.75 : x
  2. Step 2: Convert to fraction form
    545,998.88/826,635.75 = 826,635.75/x
  3. Step 3: Cross multiply
    545,998.88x = 826,635.75 × 826,635.75
  4. Step 4: Simplify right side
    545,998.88x = 683,326,663,178.06
  5. Step 5: Solve for x
    x = 683,326,663,178.06/545,998.88
  6. Step 6: Final answer
    x = 1,251,516.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.