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Finding the Third Proportional to 213,223.50 and 459,659.25

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Solution

The third proportional to 213,223.50 and 459,659.25 is: 990,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,223.50 : 459,659.25 = 459,659.25 : x
  2. Step 2: Convert to fraction form
    213,223.50/459,659.25 = 459,659.25/x
  3. Step 3: Cross multiply
    213,223.50x = 459,659.25 × 459,659.25
  4. Step 4: Simplify right side
    213,223.50x = 211,286,626,110.56
  5. Step 5: Solve for x
    x = 211,286,626,110.56/213,223.50
  6. Step 6: Final answer
    x = 990,916.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.