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Finding the Third Proportional to 545,998.22 and 826,634.74

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Solution

The third proportional to 545,998.22 and 826,634.74 is: 1,251,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,998.22 : 826,634.74 = 826,634.74 : x
  2. Step 2: Convert to fraction form
    545,998.22/826,634.74 = 826,634.74/x
  3. Step 3: Cross multiply
    545,998.22x = 826,634.74 × 826,634.74
  4. Step 4: Simplify right side
    545,998.22x = 683,324,996,991.40
  5. Step 5: Solve for x
    x = 683,324,996,991.40/545,998.22
  6. Step 6: Final answer
    x = 1,251,515.07

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Why These Related Problems?

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