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Finding the Third Proportional to 362,859.75 and 827,688.38

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Solution

The third proportional to 362,859.75 and 827,688.38 is: 1,887,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,859.75 : 827,688.38 = 827,688.38 : x
  2. Step 2: Convert to fraction form
    362,859.75/827,688.38 = 827,688.38/x
  3. Step 3: Cross multiply
    362,859.75x = 827,688.38 × 827,688.38
  4. Step 4: Simplify right side
    362,859.75x = 685,068,046,110.14
  5. Step 5: Solve for x
    x = 685,068,046,110.14/362,859.75
  6. Step 6: Final answer
    x = 1,887,969.24

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.