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Finding the Third Proportional to 211,504.50 and 461,889

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Solution

The third proportional to 211,504.50 and 461,889 is: 1,008,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,504.50 : 461,889 = 461,889 : x
  2. Step 2: Convert to fraction form
    211,504.50/461,889 = 461,889/x
  3. Step 3: Cross multiply
    211,504.50x = 461,889 × 461,889
  4. Step 4: Simplify right side
    211,504.50x = 213,341,448,321
  5. Step 5: Solve for x
    x = 213,341,448,321/211,504.50
  6. Step 6: Final answer
    x = 1,008,685.15

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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.