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Finding the Third Proportional to 339.19 and 710.96

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Solution

The third proportional to 339.19 and 710.96 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.19 : 710.96 = 710.96 : x
  2. Step 2: Convert to fraction form
    339.19/710.96 = 710.96/x
  3. Step 3: Cross multiply
    339.19x = 710.96 × 710.96
  4. Step 4: Simplify right side
    339.19x = 505,471.01
  5. Step 5: Solve for x
    x = 505,471.01/339.19
  6. Step 6: Final answer
    x = 1,490.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.