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Finding the Third Proportional to 468,355.50 and 1,105,251.75

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Solution

The third proportional to 468,355.50 and 1,105,251.75 is: 2,608,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,355.50 : 1,105,251.75 = 1,105,251.75 : x
  2. Step 2: Convert to fraction form
    468,355.50/1,105,251.75 = 1,105,251.75/x
  3. Step 3: Cross multiply
    468,355.50x = 1,105,251.75 × 1,105,251.75
  4. Step 4: Simplify right side
    468,355.50x = 1,221,581,430,878.06
  5. Step 5: Solve for x
    x = 1,221,581,430,878.06/468,355.50
  6. Step 6: Final answer
    x = 2,608,235.48

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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.