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Finding the Third Proportional to 323.25 and 707.25

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Solution

The third proportional to 323.25 and 707.25 is: 1,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 707.25 = 707.25 : x
  2. Step 2: Convert to fraction form
    323.25/707.25 = 707.25/x
  3. Step 3: Cross multiply
    323.25x = 707.25 × 707.25
  4. Step 4: Simplify right side
    323.25x = 500,202.56
  5. Step 5: Solve for x
    x = 500,202.56/323.25
  6. Step 6: Final answer
    x = 1,547.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.