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Finding the Third Proportional to 211,531.50 and 461,649

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Solution

The third proportional to 211,531.50 and 461,649 is: 1,007,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,531.50 : 461,649 = 461,649 : x
  2. Step 2: Convert to fraction form
    211,531.50/461,649 = 461,649/x
  3. Step 3: Cross multiply
    211,531.50x = 461,649 × 461,649
  4. Step 4: Simplify right side
    211,531.50x = 213,119,799,201
  5. Step 5: Solve for x
    x = 213,119,799,201/211,531.50
  6. Step 6: Final answer
    x = 1,007,508.57

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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.