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Finding the Third Proportional to 695,722.50 and 992,229.75

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Solution

The third proportional to 695,722.50 and 992,229.75 is: 1,415,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,722.50 : 992,229.75 = 992,229.75 : x
  2. Step 2: Convert to fraction form
    695,722.50/992,229.75 = 992,229.75/x
  3. Step 3: Cross multiply
    695,722.50x = 992,229.75 × 992,229.75
  4. Step 4: Simplify right side
    695,722.50x = 984,519,876,785.06
  5. Step 5: Solve for x
    x = 984,519,876,785.06/695,722.50
  6. Step 6: Final answer
    x = 1,415,104.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.