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Finding the Third Proportional to 354.19 and 765.42

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Solution

The third proportional to 354.19 and 765.42 is: 1,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.19 : 765.42 = 765.42 : x
  2. Step 2: Convert to fraction form
    354.19/765.42 = 765.42/x
  3. Step 3: Cross multiply
    354.19x = 765.42 × 765.42
  4. Step 4: Simplify right side
    354.19x = 585,870.65
  5. Step 5: Solve for x
    x = 585,870.65/354.19
  6. Step 6: Final answer
    x = 1,654.13

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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.