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Finding the Third Proportional to 468,378 and 1,105,305.75

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Solution

The third proportional to 468,378 and 1,105,305.75 is: 2,608,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,378 : 1,105,305.75 = 1,105,305.75 : x
  2. Step 2: Convert to fraction form
    468,378/1,105,305.75 = 1,105,305.75/x
  3. Step 3: Cross multiply
    468,378x = 1,105,305.75 × 1,105,305.75
  4. Step 4: Simplify right side
    468,378x = 1,221,700,800,983.06
  5. Step 5: Solve for x
    x = 1,221,700,800,983.06/468,378
  6. Step 6: Final answer
    x = 2,608,365.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.