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Finding the Third Proportional to 461.63 and 991.88

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Solution

The third proportional to 461.63 and 991.88 is: 2,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 991.88 = 991.88 : x
  2. Step 2: Convert to fraction form
    461.63/991.88 = 991.88/x
  3. Step 3: Cross multiply
    461.63x = 991.88 × 991.88
  4. Step 4: Simplify right side
    461.63x = 983,816.02
  5. Step 5: Solve for x
    x = 983,816.02/461.63
  6. Step 6: Final answer
    x = 2,131.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.