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Finding the Third Proportional to 213,889.50 and 464,727.75

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Solution

The third proportional to 213,889.50 and 464,727.75 is: 1,009,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,889.50 : 464,727.75 = 464,727.75 : x
  2. Step 2: Convert to fraction form
    213,889.50/464,727.75 = 464,727.75/x
  3. Step 3: Cross multiply
    213,889.50x = 464,727.75 × 464,727.75
  4. Step 4: Simplify right side
    213,889.50x = 215,971,881,620.06
  5. Step 5: Solve for x
    x = 215,971,881,620.06/213,889.50
  6. Step 6: Final answer
    x = 1,009,735.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.