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Finding the Third Proportional to 328.69 and 718.31

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Solution

The third proportional to 328.69 and 718.31 is: 1,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 718.31 = 718.31 : x
  2. Step 2: Convert to fraction form
    328.69/718.31 = 718.31/x
  3. Step 3: Cross multiply
    328.69x = 718.31 × 718.31
  4. Step 4: Simplify right side
    328.69x = 515,972.85
  5. Step 5: Solve for x
    x = 515,972.85/328.69
  6. Step 6: Final answer
    x = 1,569.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.