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Finding the Third Proportional to 324.91 and 702.03

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Solution

The third proportional to 324.91 and 702.03 is: 1,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.91 : 702.03 = 702.03 : x
  2. Step 2: Convert to fraction form
    324.91/702.03 = 702.03/x
  3. Step 3: Cross multiply
    324.91x = 702.03 × 702.03
  4. Step 4: Simplify right side
    324.91x = 492,847.88
  5. Step 5: Solve for x
    x = 492,847.88/324.91
  6. Step 6: Final answer
    x = 1,516.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.