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Finding the Third Proportional to 695,773.13 and 992,305.69

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Solution

The third proportional to 695,773.13 and 992,305.69 is: 1,415,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,773.13 : 992,305.69 = 992,305.69 : x
  2. Step 2: Convert to fraction form
    695,773.13/992,305.69 = 992,305.69/x
  3. Step 3: Cross multiply
    695,773.13x = 992,305.69 × 992,305.69
  4. Step 4: Simplify right side
    695,773.13x = 984,670,577,444.85
  5. Step 5: Solve for x
    x = 984,670,577,444.85/695,773.13
  6. Step 6: Final answer
    x = 1,415,217.90

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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.