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Finding the Third Proportional to 621,229.50 and 981,902.25

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Solution

The third proportional to 621,229.50 and 981,902.25 is: 1,551,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,229.50 : 981,902.25 = 981,902.25 : x
  2. Step 2: Convert to fraction form
    621,229.50/981,902.25 = 981,902.25/x
  3. Step 3: Cross multiply
    621,229.50x = 981,902.25 × 981,902.25
  4. Step 4: Simplify right side
    621,229.50x = 964,132,028,555.06
  5. Step 5: Solve for x
    x = 964,132,028,555.06/621,229.50
  6. Step 6: Final answer
    x = 1,551,973.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.