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Finding the Third Proportional to 225,564.75 and 400,965.19

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Solution

The third proportional to 225,564.75 and 400,965.19 is: 712,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564.75 : 400,965.19 = 400,965.19 : x
  2. Step 2: Convert to fraction form
    225,564.75/400,965.19 = 400,965.19/x
  3. Step 3: Cross multiply
    225,564.75x = 400,965.19 × 400,965.19
  4. Step 4: Simplify right side
    225,564.75x = 160,773,081,586.91
  5. Step 5: Solve for x
    x = 160,773,081,586.91/225,564.75
  6. Step 6: Final answer
    x = 712,758.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.