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Finding the Third Proportional to 458.58 and 983.39

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Solution

The third proportional to 458.58 and 983.39 is: 2,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 983.39 = 983.39 : x
  2. Step 2: Convert to fraction form
    458.58/983.39 = 983.39/x
  3. Step 3: Cross multiply
    458.58x = 983.39 × 983.39
  4. Step 4: Simplify right side
    458.58x = 967,057.12
  5. Step 5: Solve for x
    x = 967,057.12/458.58
  6. Step 6: Final answer
    x = 2,108.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.