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Finding the Third Proportional to 470.81 and 998.58

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Solution

The third proportional to 470.81 and 998.58 is: 2,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 998.58 = 998.58 : x
  2. Step 2: Convert to fraction form
    470.81/998.58 = 998.58/x
  3. Step 3: Cross multiply
    470.81x = 998.58 × 998.58
  4. Step 4: Simplify right side
    470.81x = 997,158.27
  5. Step 5: Solve for x
    x = 997,158.27/470.81
  6. Step 6: Final answer
    x = 2,117.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.