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Finding the Third Proportional to 217,448.50 and 449,813.50

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Solution

The third proportional to 217,448.50 and 449,813.50 is: 930,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,448.50 : 449,813.50 = 449,813.50 : x
  2. Step 2: Convert to fraction form
    217,448.50/449,813.50 = 449,813.50/x
  3. Step 3: Cross multiply
    217,448.50x = 449,813.50 × 449,813.50
  4. Step 4: Simplify right side
    217,448.50x = 202,332,184,782.25
  5. Step 5: Solve for x
    x = 202,332,184,782.25/217,448.50
  6. Step 6: Final answer
    x = 930,483.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.