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Finding the Third Proportional to 322.73 and 705.16

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Solution

The third proportional to 322.73 and 705.16 is: 1,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.73 : 705.16 = 705.16 : x
  2. Step 2: Convert to fraction form
    322.73/705.16 = 705.16/x
  3. Step 3: Cross multiply
    322.73x = 705.16 × 705.16
  4. Step 4: Simplify right side
    322.73x = 497,256.36
  5. Step 5: Solve for x
    x = 497,256.36/322.73
  6. Step 6: Final answer
    x = 1,540.76

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Why These Related Problems?

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