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Finding the Third Proportional to 370,607 and 809,183

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Solution

The third proportional to 370,607 and 809,183 is: 1,766,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,607 : 809,183 = 809,183 : x
  2. Step 2: Convert to fraction form
    370,607/809,183 = 809,183/x
  3. Step 3: Cross multiply
    370,607x = 809,183 × 809,183
  4. Step 4: Simplify right side
    370,607x = 654,777,127,489
  5. Step 5: Solve for x
    x = 654,777,127,489/370,607
  6. Step 6: Final answer
    x = 1,766,769.46

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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.