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Finding the Third Proportional to 324 and 705.38

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Solution

The third proportional to 324 and 705.38 is: 1,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 705.38 = 705.38 : x
  2. Step 2: Convert to fraction form
    324/705.38 = 705.38/x
  3. Step 3: Cross multiply
    324x = 705.38 × 705.38
  4. Step 4: Simplify right side
    324x = 497,553.89
  5. Step 5: Solve for x
    x = 497,553.89/324
  6. Step 6: Final answer
    x = 1,535.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.