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Finding the Third Proportional to 329.19 and 708.06

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Solution

The third proportional to 329.19 and 708.06 is: 1,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.19 : 708.06 = 708.06 : x
  2. Step 2: Convert to fraction form
    329.19/708.06 = 708.06/x
  3. Step 3: Cross multiply
    329.19x = 708.06 × 708.06
  4. Step 4: Simplify right side
    329.19x = 501,352.50
  5. Step 5: Solve for x
    x = 501,352.50/329.19
  6. Step 6: Final answer
    x = 1,523.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.