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Finding the Third Proportional to 327.80 and 707.48

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Solution

The third proportional to 327.80 and 707.48 is: 1,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 707.48 = 707.48 : x
  2. Step 2: Convert to fraction form
    327.80/707.48 = 707.48/x
  3. Step 3: Cross multiply
    327.80x = 707.48 × 707.48
  4. Step 4: Simplify right side
    327.80x = 500,534.14
  5. Step 5: Solve for x
    x = 500,534.14/327.80
  6. Step 6: Final answer
    x = 1,526.96

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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.