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Finding the Third Proportional to 211,704.75 and 457,913.25

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Solution

The third proportional to 211,704.75 and 457,913.25 is: 990,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,704.75 : 457,913.25 = 457,913.25 : x
  2. Step 2: Convert to fraction form
    211,704.75/457,913.25 = 457,913.25/x
  3. Step 3: Cross multiply
    211,704.75x = 457,913.25 × 457,913.25
  4. Step 4: Simplify right side
    211,704.75x = 209,684,544,525.56
  5. Step 5: Solve for x
    x = 209,684,544,525.56/211,704.75
  6. Step 6: Final answer
    x = 990,457.44

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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.