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Finding the Third Proportional to 358.88 and 823.69

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Solution

The third proportional to 358.88 and 823.69 is: 1,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 823.69 = 823.69 : x
  2. Step 2: Convert to fraction form
    358.88/823.69 = 823.69/x
  3. Step 3: Cross multiply
    358.88x = 823.69 × 823.69
  4. Step 4: Simplify right side
    358.88x = 678,461.10
  5. Step 5: Solve for x
    x = 678,461.10/358.88
  6. Step 6: Final answer
    x = 1,890.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.