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Finding the Third Proportional to 695,769.75 and 992,300.63

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Solution

The third proportional to 695,769.75 and 992,300.63 is: 1,415,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,769.75 : 992,300.63 = 992,300.63 : x
  2. Step 2: Convert to fraction form
    695,769.75/992,300.63 = 992,300.63/x
  3. Step 3: Cross multiply
    695,769.75x = 992,300.63 × 992,300.63
  4. Step 4: Simplify right side
    695,769.75x = 984,660,530,375.39
  5. Step 5: Solve for x
    x = 984,660,530,375.39/695,769.75
  6. Step 6: Final answer
    x = 1,415,210.32

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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.