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Finding the Third Proportional to 312,735 and 682,827

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Solution

The third proportional to 312,735 and 682,827 is: 1,490,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,735 : 682,827 = 682,827 : x
  2. Step 2: Convert to fraction form
    312,735/682,827 = 682,827/x
  3. Step 3: Cross multiply
    312,735x = 682,827 × 682,827
  4. Step 4: Simplify right side
    312,735x = 466,252,711,929
  5. Step 5: Solve for x
    x = 466,252,711,929/312,735
  6. Step 6: Final answer
    x = 1,490,887.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.