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Finding the Third Proportional to 998.58 and 1,461.80

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Solution

The third proportional to 998.58 and 1,461.80 is: 2,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.58 : 1,461.80 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    998.58/1,461.80 = 1,461.80/x
  3. Step 3: Cross multiply
    998.58x = 1,461.80 × 1,461.80
  4. Step 4: Simplify right side
    998.58x = 2,136,850.10
  5. Step 5: Solve for x
    x = 2,136,850.10/998.58
  6. Step 6: Final answer
    x = 2,139.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.