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Finding the Third Proportional to 211,172.25 and 459,522.75

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Solution

The third proportional to 211,172.25 and 459,522.75 is: 999,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,172.25 : 459,522.75 = 459,522.75 : x
  2. Step 2: Convert to fraction form
    211,172.25/459,522.75 = 459,522.75/x
  3. Step 3: Cross multiply
    211,172.25x = 459,522.75 × 459,522.75
  4. Step 4: Simplify right side
    211,172.25x = 211,161,157,767.56
  5. Step 5: Solve for x
    x = 211,161,157,767.56/211,172.25
  6. Step 6: Final answer
    x = 999,947.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.