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Finding the Third Proportional to 289,945.83 and 622,800.14

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Solution

The third proportional to 289,945.83 and 622,800.14 is: 1,337,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945.83 : 622,800.14 = 622,800.14 : x
  2. Step 2: Convert to fraction form
    289,945.83/622,800.14 = 622,800.14/x
  3. Step 3: Cross multiply
    289,945.83x = 622,800.14 × 622,800.14
  4. Step 4: Simplify right side
    289,945.83x = 387,880,015,162.52
  5. Step 5: Solve for x
    x = 387,880,015,162.52/289,945.83
  6. Step 6: Final answer
    x = 1,337,767.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.