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Finding the Third Proportional to 320.44 and 714.84

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Solution

The third proportional to 320.44 and 714.84 is: 1,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 714.84 = 714.84 : x
  2. Step 2: Convert to fraction form
    320.44/714.84 = 714.84/x
  3. Step 3: Cross multiply
    320.44x = 714.84 × 714.84
  4. Step 4: Simplify right side
    320.44x = 511,001.59
  5. Step 5: Solve for x
    x = 511,001.59/320.44
  6. Step 6: Final answer
    x = 1,594.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.