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Finding the Third Proportional to 326.69 and 707.48

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Solution

The third proportional to 326.69 and 707.48 is: 1,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 707.48 = 707.48 : x
  2. Step 2: Convert to fraction form
    326.69/707.48 = 707.48/x
  3. Step 3: Cross multiply
    326.69x = 707.48 × 707.48
  4. Step 4: Simplify right side
    326.69x = 500,534.14
  5. Step 5: Solve for x
    x = 500,534.14/326.69
  6. Step 6: Final answer
    x = 1,532.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.