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Finding the Third Proportional to 743.24 and 1,116.99

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Solution

The third proportional to 743.24 and 1,116.99 is: 1,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.24 : 1,116.99 = 1,116.99 : x
  2. Step 2: Convert to fraction form
    743.24/1,116.99 = 1,116.99/x
  3. Step 3: Cross multiply
    743.24x = 1,116.99 × 1,116.99
  4. Step 4: Simplify right side
    743.24x = 1,247,673.73
  5. Step 5: Solve for x
    x = 1,247,673.73/743.24
  6. Step 6: Final answer
    x = 1,678.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.